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A Gentle Introduction to Group Theory / Bana Al Subaiei, Muneerah Al Nuwairan
| A Gentle Introduction to Group Theory / Bana Al Subaiei, Muneerah Al Nuwairan |
| Autore | Al Subaiei, Bana |
| Pubbl/distr/stampa | Singapore, : Springer, 2023 |
| Descrizione fisica | xxiv, 417 p. : ill. ; 24 cm |
| Altri autori (Persone) | Al Nuwairan, Muneerah |
| Soggetto topico |
20-XX - Group theory and generalizations [MSC 2020]
20A05 - Axiomatics and elementary properties of groups [MSC 2020] 20Bxx - Permutation groups [MSC 2020] 20Dxx Abstract finite groups [MSC 2020] 20K01 - Finite abelian groups [MSC 2020] 20M10 - General structure theory for semigroups [MSC 2020] |
| Soggetto non controllato |
Abelian groups
Algebraic operations on integers Group homomorphism Group theory Groups Integers modulo SageMath Semigroups Set Theory Subgroups Symmetric Groups |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00279136 |
Al Subaiei, Bana
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| Singapore, : Springer, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113 : Proceedings of a Symposium in Honor of John C. Moore. (AM-113) / / William Browder
| Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113 : Proceedings of a Symposium in Honor of John C. Moore. (AM-113) / / William Browder |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (577 pages) : illustrations |
| Disciplina | 514/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic topology
K-theory |
| Soggetto non controllato |
Abelian group
Adams spectral sequence Adjoint functors Adjunction (field theory) Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number field Algebraic space Algebraic topology Algebraically closed field Associative algebra Boundary (topology) CW complex Classification theorem Closure (mathematics) Coalgebra Cofibration Cohomology Commutative diagram Commutative property Coproduct Deformation theory Degenerate bilinear form Diagram (category theory) Differentiable manifold Dimension (vector space) Division algebra Eilenberg–Moore spectral sequence Epimorphism Exterior (topology) Formal power series Free Lie algebra Free algebra Freudenthal suspension theorem Function (mathematics) Function space Functor G-module Galois extension Global dimension Group cohomology Group homomorphism H-space Hilbert's Theorem 90 Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Hopf algebra Hopf invariant Hurewicz theorem Inclusion map Inequality (mathematics) Integral domain Isometry Isomorphism class K-theory Lie algebra Lie group Limit (category theory) Loop space Mathematician Mathematics Noetherian ring Order topology P-adic number Polynomial ring Polynomial Prime number Principal bundle Principal ideal domain Projective module Projective plane Pullback (category theory) Pushout (category theory) Ring of integers Series (mathematics) Sheaf (mathematics) Simplicial category Simplicial complex Simplicial set Special case Spectral sequence Square (algebra) Stable homotopy theory Steenrod algebra Superalgebra Theorem Topological K-theory Topological space Topology Triviality (mathematics) Uniqueness theorem Universal enveloping algebra Vector bundle Weak equivalence (homotopy theory) William Browder (mathematician) |
| ISBN | 1-4008-8211-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- I. Exponents in Homotopy Theory / Cohen, F. R. / Moore, J. C. / Neisendorfer, J. A. -- II. The Exponent of a Moore Space / Neisendorfer, Joseph A. -- III. The Space of Maps of Moore Spaces Into Spheres / Campbell, H. E. A. / Cohen, F. R. / Peterson, F. P. / Selick, P. S. -- IV. The Adams Spectral Sequence of Ω2S3 and Brown Gitlet Spectra / Brown, Edgar H. / Cohen, Ralph L. -- V. Homotopy Groups of Some Mapping Telescopes / Davis, Donald M. / Mahowald, Mark -- VI. Mapping Telescopes and K*-Localization / Davis, Donald M. / Mahowald, Mark / Miller, Haynes -- VII. The Geometric Realization of The Chromatic Resolution / Ravenel, Douglas C. -- VIII. Equivalences Between Homotopy Theories of Diagrams / Dwyer, W. G. / Kan, D. M. -- IX. The Role of The Steenrod Algebra in The Mod 2 Cohomology of a Finite H-Space / Lin, James P. -- X. Maps Between Classifying Spaces / Zabrodsky, A. -- XI. Generic Algebras and CW Complexes / Anick, David J. -- XII. Deformation Theory and The Little Constructions of Cartan and Moore / Stasheff, Jim -- XIII. Free (ℤ/2)3 - Actions on Finite Complexes / Carlsson, Gunnar -- XIV. Equivariant Constructions of Nonequivariant Spectra / May, J. P. -- XV. A Decomposition of The Space of Generalized Morse Functions / Cohen, Ralph L. -- XVI. Algebriac K-Theory of Spaces, Concordance, and Stable Homotopy Theory / Waldhausen, Friedhelm -- XVII. The Map BSG → A(*) → QS° / Bokstedt, Marcel / Waldhausen, Friedhelm -- XVIII. Vector Bundles, Projective Modules and The K-Theory of Spheres / Swan, Richard G. -- XIX. Limits Of Infinitesimal Group Cohomology / Friedlander, Eric M. / Parshall, Brian J. -- XX. Algebraic K-Theory of Group Scheme Actions / Thomason, R. W. -- Backmatter |
| Record Nr. | UNINA-9910154749203321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
| Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby |
| Autore | Kirby Robion C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (373 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Piecewise linear topology Triangulating manifolds |
| Soggetto non controllato |
Affine space
Algebraic topology (object) Approximation Associative property Automorphism Big O notation CW complex Calculation Cap product Cartesian product Category of sets Chain complex Classification theorem Classifying space Cobordism Codimension Cofibration Cohomology Connected space Continuous function (set theory) Continuous function Counterexample Diffeomorphism Differentiable manifold Differential structure Differential topology Dimension (vector space) Direct proof Disjoint union Elementary proof Embedding Euclidean space Existence theorem Existential quantification Fiber bundle Fibration General position Geometry Group homomorphism H-cobordism H-space Handle decomposition Handlebody Hauptvermutung Hausdorff space Hilbert cube Homeomorphism group Homeomorphism Homomorphism Homotopy group Homotopy Inclusion map Injective function Invertible matrix K-cell (mathematics) Kan extension Linear subspace Linear topology Manifold Mapping cylinder Mathematical induction Mathematician Metric space Morse theory Neighbourhood (mathematics) Open set Partition of unity Piecewise linear manifold Piecewise linear Poincaré conjecture Polyhedron Principal bundle Product metric Pushout (category theory) Regular homotopy Retract Sheaf (mathematics) Simplicial complex Smoothing Spin structure Stability theory Stable manifold Standard map Submanifold Submersion (mathematics) Subset Surgery exact sequence Surjective function Theorem Topological group Topological manifold Topological space Topology Transversal (geometry) Transversality (mathematics) Transversality theorem Union (set theory) Uniqueness theorem Vector bundle Zorn's lemma |
| ISBN | 1-4008-8150-1 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter |
| Record Nr. | UNINA-9910154753803321 |
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Kirby Robion C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Higher topos theory [[electronic resource] /] / Jacob Lurie
| Higher topos theory [[electronic resource] /] / Jacob Lurie |
| Autore | Lurie Jacob <1977-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (944 p.) |
| Disciplina | 512/.62 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Toposes
Categories (Mathematics) |
| Soggetto non controllato |
Adjoint functors
Associative property Base change map Base change CW complex Canonical map Cartesian product Category of sets Category theory Coequalizer Cofinality Coherence theorem Cohomology Cokernel Commutative property Continuous function (set theory) Contractible space Coproduct Corollary Derived category Diagonal functor Diagram (category theory) Dimension theory (algebra) Dimension theory Dimension Enriched category Epimorphism Equivalence class Equivalence relation Existence theorem Existential quantification Factorization system Functor category Functor Fundamental group Grothendieck topology Grothendieck universe Group homomorphism Groupoid Heyting algebra Higher Topos Theory Higher category theory Homotopy category Homotopy colimit Homotopy group Homotopy I0 Inclusion map Inductive dimension Initial and terminal objects Inverse limit Isomorphism class Kan extension Limit (category theory) Localization of a category Maximal element Metric space Model category Monoidal category Monoidal functor Monomorphism Monotonic function Morphism Natural transformation Nisnevich topology Noetherian topological space Noetherian O-minimal theory Open set Power series Presheaf (category theory) Prime number Pullback (category theory) Pushout (category theory) Quillen adjunction Quotient by an equivalence relation Regular cardinal Retract Right inverse Sheaf (mathematics) Sheaf cohomology Simplicial category Simplicial set Special case Subcategory Subset Surjective function Tensor product Theorem Topological space Topology Topos Total order Transitive relation Universal property Upper and lower bounds Weak equivalence (homotopy theory) Yoneda lemma Zariski topology Zorn's lemma |
| ISBN |
1-282-64495-5
9786612644955 1-4008-3055-9 |
| Classificazione |
SI 830
SK 320 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation |
| Record Nr. | UNINA-9910784939903321 |
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Lurie Jacob <1977->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
| K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak |
| Autore | Bak Anthony |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
K-theory
Modules (Algebra) Forms (Mathematics) |
| Soggetto non controllato |
Abelian group
Addition Algebraic K-theory Algebraic topology Approximation Arithmetic Canonical map Coefficient Cokernel Computation Coprime integers Coset Direct limit Direct product Division ring Elementary matrix Exact sequence Finite group Finite ring Free module Functor General linear group Global field Group homomorphism Group ring Homology (mathematics) Integer Invertible matrix Isomorphism class K-theory Linear map Local field Matrix group Maxima and minima Mayer–Vietoris sequence Module (mathematics) Monoid Morphism Natural transformation Normal subgroup P-group Parameter Power of two Product category Projective module Quadratic form Requirement Ring of integers Semisimple algebra Sesquilinear form Special case Steinberg group (K-theory) Steinberg group Subcategory Subgroup Subspace topology Surjective function Theorem Theory Topological group Topological ring Topology Torsion subgroup Triviality (mathematics) Unification (computer science) Unitary group Witt group |
| ISBN | 1-4008-8141-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Record Nr. | UNINA-9910154747603321 |
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Bak Anthony
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Riemann Surfaces Related Topics (AM-97), Volume 97 : Proceedings of the 1978 Stony Brook Conference. (AM-97) / / Bernard Maskit, Irwin Kra
| Riemann Surfaces Related Topics (AM-97), Volume 97 : Proceedings of the 1978 Stony Brook Conference. (AM-97) / / Bernard Maskit, Irwin Kra |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (533 pages) : illustrations |
| Disciplina | 515/.223 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Riemann surfaces |
| Soggetto non controllato |
Abstract simplicial complex
Affine transformation Algebraic curve Algebraic element Algebraic equation Algebraic surface Analytic function Analytic torsion Automorphic form Automorphic function Automorphism Banach space Basis (linear algebra) Boundary (topology) Bounded set (topological vector space) Cohomology ring Cohomology Commutative property Commutator subgroup Compact Riemann surface Complex analysis Complex manifold Conformal geometry Conformal map Conjugacy class Covering space Diagram (category theory) Dimension (vector space) Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Equivalence class Equivalence relation Ergodic theory Existential quantification Foliation Fuchsian group Fundamental domain Fundamental group Fundamental polygon Geodesic Geometric function theory Group homomorphism H-cobordism Hausdorff measure Holomorphic function Homeomorphism Homomorphism Homotopy Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Infimum and supremum Injective module Interior (topology) Intersection form (4-manifold) Isometry Isomorphism class Jordan curve theorem Kleinian group Kähler manifold Limit point Limit set Manifold Meromorphic function Metric space Mostow rigidity theorem Möbius transformation Poincaré conjecture Pole (complex analysis) Polynomial Product topology Projective variety Quadratic differential Quasi-isometry Quasiconformal mapping Quotient space (topology) Radon–Nikodym theorem Ricci curvature Riemann mapping theorem Riemann sphere Riemann surface Riemannian geometry Riemannian manifold Schwarzian derivative Strictly convex space Subgroup Submanifold Surjective function Tangent space Teichmüller space Theorem Topological conjugacy Topological space Topology Uniformization theorem Uniformization Uniqueness theorem Unit disk Vector bundle |
| ISBN | 1-4008-8155-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- A Geometric Property of Bers' Embedding of The Teichmuller Space / Abikoff, William -- Plane Models for Riemann Surf Aces Admitting Certain Half-Canonical Linear Series, Part I / Accola, Robert D. M. -- Nontriviality of Teichmuller Space for Kleinian Group in Space / Apanasov, B. N. -- The Action of The Modular Group on The Complex Boundary / Bers, Lipman -- Some Remarks on Bounded Cohomology / Brooks, Robert -- The Dynamics of 2-Generator Subgroups of PSL(2, ℂ) / Brooks, Robert / Matelski, J. Peter -- Minimal Geodesics on Fricke's Torus-Covering / Cohn, Harvey -- On Variation of Projective Structures / Earle, Clifford J. -- Vanishing Theta Constants / Farkas, Hershel M. -- Analytic Torsion and Prym Differentials / Fay, John -- On a Notion of Quasiconformal Rigidity for Riemann Surf Aces / Gardiner, Frederick P. -- Spirals and The Universal Teichmuller Space / Gehring, F. W. -- Intersection Matrices for Bases Adapted to Automorphisms of a Compact Riemann Surface / Gilman, Jane / Patterson, David -- Homomorphisms of Triangle Groups Into PSL(2, ℂ) / Greenberg, Leon -- Hyperbolic Manifolds, Groups and Actions / Gromov, M. -- Automorphisms of Compact Riemann Surfaces and Weierstrass Points / Guerrero, Ignacio -- Affine and Projective Structures on Riemann Surf Aces / Gunning, R. C. -- Boundary Structure of The Modular Group / Harvey, W. J. -- A Realization Problem in The Theory of Analytic Curves / Heins, Maurice -- The Monodromy of Projective Structures / Hubbard, John H. -- Holomorphic Families of Riemann Surf Aces and Teichmoller Spaces / Imayoshi, Yoichi -- Commutators in SL(2, ℂ) / Jørgensen, Troels -- Two Examples of Covering Surf Aces / Jørgensen, T. / Marden, A. / Pommerenke, C. -- Deformations of Symmetric Products / Kempf, George R. -- Remarks on Projective Structures / Kra, Irwin / Maskit, Bernard -- Some Remarks on Kleinian Groups / Krushkal, S. L. -- Remarks on Web Groups / Kuroda, Tadashi / Mori, Seiki / Takahashi, Hidenori -- Remarks on Fuchsian Groups Associated with Open Riemann Surfaces / Kusunoki, Yukio / Taniguchi, Masahiko -- On Generalized Weierstrass Points and Rings with No Prime Elements / Laufer, Henry B. -- The Topology of Analytic Surfaces: Decompositions of Elliptic Surfaces / Mandelbaum, Richard -- Dense Geodesics in Moduli Space / Masur, Howard -- Automorphismen Ebener Diskontinuierlicher Gruppen / Rosenberger, Gerhard -- Remarks on The Geometry of The Siegel Modular Group / Sibner, Robert J. -- On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions / Sullivan, Dennis -- On Infinite Nielsen Kernels / Wason, Judith C. -- Hyperbolic 3-Manifolds which share a Fundamental Polyhedron / Wielenberg, Norbert J. -- The Length Spectrum as Moduli for Compact Riemann Surfaces / Wolpert, Scott -- Backmatter |
| Record Nr. | UNINA-9910154746303321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
| The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
| Autore | Morgan John W. <1946-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 514/.2 |
| Collana | Mathematical Notes |
| Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
| Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
| ISBN | 1-4008-6516-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
| Record Nr. | UNINA-9910786749103321 |
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Morgan John W. <1946->
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
| The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
| Autore | Morgan John W. <1946-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 514/.2 |
| Collana | Mathematical Notes |
| Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
| Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
| ISBN | 1-4008-6516-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
| Record Nr. | UNINA-9910828604403321 |
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Morgan John W. <1946->
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910786749403321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910811911303321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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