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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
| Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen |
| Autore | Madsen Ib |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 514/.223 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Classifying spaces Surgery (Topology) Cobordism theory |
| Soggetto non controllato |
Bijection
Calculation Characteristic class Classification theorem Classifying space Closed manifold Cobordism Coefficient Cohomology Commutative diagram Commutative property Complex projective space Connected sum Corollary Cup product Diagram (category theory) Differentiable manifold Disjoint union Disk (mathematics) Effective method Eilenberg–Moore spectral sequence Elaboration Equivalence class Exact sequence Exterior algebra Fiber bundle Fibration Function composition H-space Homeomorphism Homomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Iterative method Loop space Manifold Massey product N-sphere Normal bundle Obstruction theory Pairing Permutation Piecewise linear manifold Piecewise linear Polynomial Prime number Projective space Sequence Simply connected space Special case Spin structure Steenrod algebra Subset Summation Tensor product Theorem Topological group Topological manifold Topology Total order |
| ISBN | 1-4008-8147-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749003321 |
Madsen Ib
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| 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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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 | ||
| ||
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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