A Ludic Journey into Geometric Topology / Ton Marar |
Autore | Marar, Ton |
Pubbl/distr/stampa | Cham, : Springer, 2022 |
Descrizione fisica | xiv, 115 p. : ill. ; 24 cm |
Soggetto non controllato |
Euclidean Geometry
Genus Geometric topology Geometry Hyperbolic geometries Hypersurfaces Non-orientable surfaces Orientability Orientable surfaces Surfaces Topology |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0276795 |
Marar, Ton
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Cham, : Springer, 2022 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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A Ludic Journey into Geometric Topology / Ton Marar |
Autore | Marar, Ton |
Pubbl/distr/stampa | Cham, : Springer, 2022 |
Descrizione fisica | xiv, 115 p. : ill. ; 24 cm |
Soggetto topico |
00A09 - Popularization of mathematics [MSC 2020]
55-XX - Algebraic topology [MSC 2020] |
Soggetto non controllato |
Euclidean Geometry
Genus Geometric topology Geometry Hyperbolic geometries Hypersurfaces Non-orientable surfaces Orientability Orientable surfaces Surfaces Topology |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN00276795 |
Marar, Ton
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Cham, : Springer, 2022 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 / / Joan S. Birman |
Autore | Birman Joan S. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (241 pages) : illustrations |
Disciplina | 514/.224 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Braid theory
Knot theory Representations of groups |
Soggetto non controllato |
Addition
Alexander polynomial Algebraic structure Automorphism Ball (mathematics) Bijection Braid group Braid theory Branched covering Burau representation Calculation Cartesian coordinate system Characterization (mathematics) Coefficient Combinatorial group theory Commutative property Commutator subgroup Configuration space Conjugacy class Corollary Covering space Dehn twist Determinant Diagram (category theory) Dimension Disjoint union Double coset Eigenvalues and eigenvectors Enumeration Equation Equivalence class Exact sequence Existential quantification Faithful representation Finite set Free abelian group Free group Fundamental group Geometry Group (mathematics) Group ring Groupoid Handlebody Heegaard splitting Homeomorphism Homomorphism Homotopy group Homotopy Identity element Identity matrix Inclusion map Initial point Integer matrix Integer Knot polynomial Knot theory Lens space Line segment Line–line intersection Link group Low-dimensional topology Mapping class group Mathematical induction Mathematics Matrix group Matrix representation Monograph Morphism Natural transformation Normal matrix Notation Orientability Parity (mathematics) Permutation Piecewise linear Pointwise Polynomial Prime knot Projection (mathematics) Proportionality (mathematics) Quotient group Requirement Rewriting Riemann surface Semigroup Sequence Special case Subgroup Submanifold Subset Symmetric group Theorem Theory Topology Trefoil knot Two-dimensional space Unimodular matrix Unit vector Variable (mathematics) Word problem (mathematics) |
ISBN | 1-4008-8142-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BRAID GROUPS -- CHAPTER 2. BRAIDS AND LINKS -- CHAPTER 3. MAGNUS REPRESENTATIONS -- CHAPTER 4. MAPPING CLASS GROUPS -- CHAPTER 5. PLATS AND LINKS -- APPENDIX: RESEARCH PROBLEMS -- BIBLIOGRAPHY -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154753103321 |
Birman Joan S.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer |
Autore | Penner R. C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (233 pages) : illustrations |
Disciplina | 511/.6 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Geodesics (Mathematics)
CW complexes Combinatorial analysis |
Soggetto non controllato |
Ambient isotopy
Analytic function Axiom Brouwer fixed-point theorem CW complex Cantor set Cardinality Change of basis Coefficient Combinatorics Compactification (mathematics) Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coordinate system Cotangent space Covering space Deformation theory Dehn twist Diffeomorphism Differential topology Disjoint sets Disjoint union Disk (mathematics) Eigenvalues and eigenvectors Embedding Equation Equivalence class (music) Equivalence class Equivalence relation Euclidean space Euler characteristic Explicit formula Explicit formulae (L-function) Fiber bundle Foliation Fuchsian group Geodesic curvature Geometry Harmonic function Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic motion Hyperbolic space Incidence matrix Inequality (mathematics) Infimum and supremum Injective function Intersection (set theory) Intersection number (graph theory) Intersection number Interval (mathematics) Invariance of domain Invariant measure Jordan curve theorem Kähler manifold Lexicographical order Linear map Linear subspace Mapping class group Mathematical induction Monogon Natural topology Orientability Pair of pants (mathematics) Parallel curve Parametrization Parity (mathematics) Projective space Quadratic differential Scientific notation Sign (mathematics) Special case Spectral radius Standard basis Subsequence Subset Summation Support (mathematics) Symplectic geometry Symplectomorphism Tangent space Tangent vector Tangent Teichmüller space Theorem Topological space Topology Total order Train track (mathematics) Transitive relation Transpose Transversality (mathematics) Transverse measure Uniformization theorem Unit tangent bundle Unit vector Vector field |
ISBN | 1-4008-8245-1 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography |
Record Nr. | UNINA-9910154745603321 |
Penner R. C.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust |
Autore | Trust Salomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (205 pages) |
Disciplina |
513.7
516.7* |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Curvature
Geometry, Differential |
Soggetto non controllato |
Abelian integral
Affine connection Algebraic operation Almost periodic function Analytic function Arc length Betti number Coefficient Compact space Complex analysis Complex conjugate Complex dimension Complex manifold Conservative vector field Constant curvature Constant function Continuous function Convex set Coordinate system Covariance and contravariance of vectors Covariant derivative Curvature Derivative Differential form Differential geometry Dimension (vector space) Dimension Einstein manifold Equation Euclidean domain Euclidean geometry Euclidean space Existential quantification Geometry Hausdorff space Hypersphere Killing vector field Kähler manifold Lie group Manifold Metric tensor (general relativity) Metric tensor Mixed tensor One-parameter group Orientability Partial derivative Periodic function Permutation Quantity Ricci curvature Riemannian manifold Scalar (physics) Sectional curvature Self-adjoint Special case Subset Summation Symmetric tensor Symmetrization Tensor algebra Tensor calculus Tensor field Tensor Theorem Torsion tensor Two-dimensional space Uniform convergence Uniform space Unit circle Unit sphere Unit vector Vector field |
ISBN | 1-4008-8220-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Riemannian Manifold -- Chapter II. Harmonic and Killing Vectors -- Chapter III. Harmonic and Killing Tensors -- Chapter IV. Harmonic and Killing Tensors in Flat Manifolds -- Chapter V. Deviation from Flatness -- Chapter VI. Semi-simple Group Spaces -- Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion -- Chapter VIII. Kaehler Manifold -- Chapter IX. Supplements / Bochner, S. -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154748603321 |
Trust Salomon
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Global surgery formula for the Casson-Walker invariant / / by Christine Lescop |
Autore | Lescop Christine <1966-> |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
Descrizione fisica | 1 online resource (156 p.) |
Disciplina | 514/.72 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Surgery (Topology)
Three-manifolds (Topology) |
Soggetto non controllato |
3-manifold
Addition Alexander polynomial Ambient isotopy Betti number Casson invariant Change of basis Change of variables Cobordism Coefficient Combination Combinatorics Computation Conjugacy class Connected component (graph theory) Connected space Connected sum Cup product Determinant Diagram (category theory) Disk (mathematics) Empty set Exterior (topology) Fiber bundle Fibration Function (mathematics) Fundamental group Homeomorphism Homology (mathematics) Homology sphere Homotopy sphere Indeterminate (variable) Integer Klein bottle Knot theory Manifold Morphism Notation Orientability Permutation Polynomial Prime number Projective plane Scientific notation Seifert surface Sequence Summation Symmetrization Taylor series Theorem Topology Tubular neighborhood Unlink |
ISBN |
0-691-02133-3
1-4008-6515-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index |
Record Nr. | UNINA-9910786748103321 |
Lescop Christine <1966->
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Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
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Lo trovi qui: Univ. Federico II | ||
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Global surgery formula for the Casson-Walker invariant / / by Christine Lescop |
Autore | Lescop Christine <1966-> |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
Descrizione fisica | 1 online resource (156 p.) |
Disciplina | 514/.72 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Surgery (Topology)
Three-manifolds (Topology) |
Soggetto non controllato |
3-manifold
Addition Alexander polynomial Ambient isotopy Betti number Casson invariant Change of basis Change of variables Cobordism Coefficient Combination Combinatorics Computation Conjugacy class Connected component (graph theory) Connected space Connected sum Cup product Determinant Diagram (category theory) Disk (mathematics) Empty set Exterior (topology) Fiber bundle Fibration Function (mathematics) Fundamental group Homeomorphism Homology (mathematics) Homology sphere Homotopy sphere Indeterminate (variable) Integer Klein bottle Knot theory Manifold Morphism Notation Orientability Permutation Polynomial Prime number Projective plane Scientific notation Seifert surface Sequence Summation Symmetrization Taylor series Theorem Topology Tubular neighborhood Unlink |
ISBN |
0-691-02133-3
1-4008-6515-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index |
Record Nr. | UNINA-9910827210603321 |
Lescop Christine <1966->
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Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
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Lo trovi qui: Univ. Federico II | ||
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Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth |
Autore | Neuwirth Lee Paul |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (120 pages) : illustrations |
Disciplina | 513.8 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Knot theory |
Soggetto non controllato |
Abelian group
Alexander duality Alexander polynomial Algebraic theory Algorithm Analytic continuation Associative property Automorphism Axiom Bijection Binary relation Calculation Central series Characterization (mathematics) Cobordism Coefficient Cohomology Combinatorics Commutator subgroup Complete theory Computation Conjugacy class Conjugate element (field theory) Connected space Connectedness Coprime integers Coset Covering space Curve Cyclic group Dehn's lemma Determinant Diagonalization Diagram (category theory) Dimension Direct product Equivalence class Equivalence relation Euclidean space Euler characteristic Existential quantification Fiber bundle Finite group Finitely generated module Frattini subgroup Free abelian group Fundamental group Geometry Group ring Group theory Group with operators Hausdorff space Homeomorphism Homology (mathematics) Homomorphism Homotopy group Homotopy Identity matrix Inner automorphism Interior (topology) Intersection number (graph theory) Knot group Knot theory Linear combination Manifold Mathematical induction Monomorphism Morphism Morse theory Natural transformation Non-abelian group Normal subgroup Orientability Permutation Polynomial Presentation of a group Principal ideal domain Principal ideal Root of unity Semigroup Simplicial complex Simply connected space Special case Square matrix Subgroup Subset Summation Theorem Three-dimensional space (mathematics) Topological space Topology Torus knot Transfinite number Trefoil knot Trichotomy (mathematics) Trivial group Triviality (mathematics) Two-dimensional space Unit vector Wreath product |
ISBN | 1-4008-8203-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. NOTATION AND CONVENTIONS -- CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS -- CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX -- CHAPTER V. SUBGROUPS -- CHAPTER VI. REPRESENTATIONS -- CHAPTER VII. AUTOMORPHISMS -- CHAPTER VIII. A GROUP OF GROUPS -- CHAPTER IX. THE CHARACTERIZATION PROBLEM -- CHAPTER X. THE STRENGTH OP THE GROUP -- CHAPTER XI. PROBLEMS -- APPENDIX BY S. Eileriberg -- REFERENCES -- INDEX |
Record Nr. | UNINA-9910154747703321 |
Neuwirth Lee Paul
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Robust optimization [[electronic resource] /] / Aharon Ben-Tal, Laurent El Ghaoui, Arkadi Nemirovski |
Autore | Ben-Tal A |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
Descrizione fisica | 1 online resource (565 p.) |
Disciplina | 519.6 |
Altri autori (Persone) |
El GhaouiLaurent
NemirovskiĭArkadiĭ Semenovich |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Robust optimization
Linear programming |
Soggetto non controllato |
0O
Accuracy and precision Additive model Almost surely Approximation algorithm Approximation Best, worst and average case Bifurcation theory Big O notation Candidate solution Central limit theorem Chaos theory Coefficient Computational complexity theory Constrained optimization Convex hull Convex optimization Convex set Cumulative distribution function Curse of dimensionality Decision problem Decision rule Degeneracy (mathematics) Diagram (category theory) Duality (optimization) Dynamic programming Exponential function Feasible region Floor and ceiling functions For All Practical Purposes Free product Ideal solution Identity matrix Inequality (mathematics) Infimum and supremum Integer programming Law of large numbers Likelihood-ratio test Linear dynamical system Linear inequality Linear map Linear matrix inequality Linear programming Linear regression Loss function Margin classifier Markov chain Markov decision process Mathematical optimization Max-plus algebra Maxima and minima Multivariate normal distribution NP-hardness Norm (mathematics) Normal distribution Optimal control Optimization problem Orientability P versus NP problem Pairwise Parameter Parametric family Probability distribution Probability Proportionality (mathematics) Quantity Random variable Relative interior Robust control Robust decision-making Robust optimization Semi-infinite Sensitivity analysis Simple set Singular value Skew-symmetric matrix Slack variable Special case Spherical model Spline (mathematics) State variable Stochastic calculus Stochastic control Stochastic optimization Stochastic programming Stochastic Strong duality Support vector machine Theorem Time complexity Uncertainty Uniform distribution (discrete) Unimodality Upper and lower bounds Variable (mathematics) Virtual displacement Weak duality Wiener filter With high probability Without loss of generality |
ISBN |
1-282-25928-8
9786612259289 1-4008-3105-9 |
Classificazione | SK 870 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Part I. Robust Linear Optimization -- Chapter One. Uncertain Linear Optimization Problems and their Robust Counterparts -- Chapter Two. Robust Counterpart Approximations of Scalar Chance Constraints -- Chapter Three. Globalized Robust Counterparts of Uncertain LO Problems -- Chapter Four. More on Safe Tractable Approximations of Scalar Chance Constraints -- Part II. Robust Conic Optimization -- Chapter Five. Uncertain Conic Optimization: The Concepts -- Chapter Six. Uncertain Conic Quadratic Problems with Tractable RCs -- Chapter Seven. Approximating RCs of Uncertain Conic Quadratic Problems -- Chapter Eight. Uncertain Semidefinite Problems with Tractable RCs -- Chapter Nine. Approximating RCs of Uncertain Semidefinite Problems -- Chapter Ten. Approximating Chance Constrained CQIs and LMIs -- Chapter Eleven. Globalized Robust Counterparts of Uncertain Conic Problems -- Chapter Twelve. Robust Classi¯cation and Estimation -- Part III. Robust Multi-Stage Optimization -- Chapter Thirteen. Robust Markov Decision Processes -- Chapter Fourteen. Robust Adjustable Multistage Optimization -- Part IV. Selected Applications -- Chapter Fifteen. Selected Applications -- Appendix A: Notation and Prerequisites -- Appendix B: Some Auxiliary Proofs -- Appendix C: Solutions to Selected Exercises -- Bibliography -- Index |
Record Nr. | UNINA-9910778219003321 |
Ben-Tal A
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Princeton, NJ, : Princeton University Press, c2009 | ||
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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 |
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 |
Morgan John W. <1946->
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Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
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Lo trovi qui: Univ. Federico II | ||
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