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Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
| Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (339 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Characteristic classes |
| Soggetto non controllato |
Additive group
Axiom Basis (linear algebra) Boundary (topology) Bundle map CW complex Canonical map Cap product Cartesian product Characteristic class Charles Ehresmann Chern class Classifying space Coefficient Cohomology ring Cohomology Compact space Complex dimension Complex manifold Complex vector bundle Complexification Computation Conformal geometry Continuous function Coordinate space Cross product De Rham cohomology Diffeomorphism Differentiable manifold Differential form Differential operator Dimension (vector space) Dimension Direct sum Directional derivative Eilenberg–Steenrod axioms Embedding Equivalence class Euler class Euler number Existence theorem Existential quantification Exterior (topology) Fiber bundle Fundamental class Fundamental group General linear group Grassmannian Gysin sequence Hausdorff space Homeomorphism Homology (mathematics) Homotopy Identity element Integer Interior (topology) Isomorphism class J-homomorphism K-theory Leibniz integral rule Levi-Civita connection Limit of a sequence Linear map Metric space Natural number Natural topology Neighbourhood (mathematics) Normal bundle Open set Orthogonal complement Orthogonal group Orthonormal basis Partition of unity Permutation Polynomial Power series Principal ideal domain Projection (mathematics) Representation ring Riemannian manifold Sequence Singular homology Smoothness Special case Steenrod algebra Stiefel–Whitney class Subgroup Subset Symmetric function Tangent bundle Tensor product Theorem Thom space Topological space Topology Unit disk Unit vector Variable (mathematics) Vector bundle Vector space |
| ISBN | 1-4008-8182-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index |
| Record Nr. | UNINA-9910154754803321 |
Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
| Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander |
| Autore | Friedlander Eric M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (193 pages) |
| Disciplina | 514/.24 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Homotopy theory
Schemes (Algebraic geometry) Homology theory |
| Soggetto non controllato |
Abelian group
Adams operation Adjoint functors Alexander Grothendieck Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number theory Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Automorphism Base change Cap product Cartesian product Closed immersion Codimension Coefficient Cohomology Comparison theorem Complex number Complex vector bundle Connected component (graph theory) Connected space Coprime integers Corollary Covering space Derived functor Dimension (vector space) Disjoint union Embedding Existence theorem Ext functor Exterior algebra Fiber bundle Fibration Finite field Finite group Free group Functor Fundamental group Galois cohomology Galois extension Geometry Grothendieck topology Homogeneous space Homological algebra Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Integral domain Intersection (set theory) Inverse limit Inverse system K-theory Leray spectral sequence Lie group Local ring Mapping cylinder Natural number Natural transformation Neighbourhood (mathematics) Newton polynomial Noetherian ring Open set Opposite category Pointed set Presheaf (category theory) Reductive group Regular local ring Relative homology Residue field Riemann surface Root of unity Serre spectral sequence Shape theory (mathematics) Sheaf (mathematics) Sheaf cohomology Sheaf of spectra Simplex Simplicial set Special case Spectral sequence Surjective function Theorem Topological K-theory Topological space Topology Tubular neighborhood Vector bundle Weak equivalence (homotopy theory) Weil conjectures Weyl group Witt vector Zariski topology |
| ISBN | 1-4008-8149-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154744803321 |
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Friedlander Eric M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
| Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford |
| Autore | Mumford David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 516.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Curves, Algebraic
Surfaces, Algebraic |
| Soggetto non controllato |
Affine space
Algebraic geometry Algebraic topology Algebraically closed field Binary operation Chern class Coherent sheaf Cohomology Complex vector bundle Dense set Differential form Direct product Family of curves Formal power series Functor Generic point Group ring Homomorphism Invertible sheaf Local ring Morphism of schemes Morphism Nonlinear system Open set Pairwise Polynomial Power series Projective space Rational function Rational point Sheaf (mathematics) Subring Summation Symmetric function Topology Union (set theory) Zariski topology Zero divisor |
| ISBN | 1-4008-8206-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED -- LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS -- LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS" -- LECTURE 4. USES OF THE FUNCTOR OF POINTS -- APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES -- LECTURE 5. Pro j AND INVERTIBLE SHEAVES -- APPENDIX TO LECTURE 5 -- LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES -- LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn -- LECTURE 8. FLATTENING STRATIFICATIONS -- LECTURE 9. CARTIER DIVISORS -- LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS -- LECTURE 11. BACK TO THE CLASSICAL CASE -- LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES -- LECTURE 13. LINEAR SYSTEMS AND EXAMPLES -- LECTURE 14. SOME VANISHING THEOREMS -- LECTURE 15. UNIVERSAL FAMILIES OF CURVES -- LECTURE 16. THE METHOD OF CHOW SCHEMES -- LECTURE 17. GOOD CURVES -- LECTURE 18. THE INDEX THEOREM -- LECTURE 19. THE PICARD SCHEME : OUTLINE -- LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE -- LECTURE 21. THE PICARD SCHEME: CONCLUSION -- LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES -- LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER -- LECTURE 24. THE STRUCTURE OF Φ -- LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER -- LECTURE 26. RING SCHEMES; THE WITT SCHEME -- APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26 -- LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p -- WORKS REFERRED TO -- Backmatter |
| Record Nr. | UNINA-9910154747503321 |
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Mumford David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel
| Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel |
| Autore | Ravenel Douglas C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (225 pages) |
| Disciplina | 514/.24 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Homotopy theory |
| Soggetto non controllato |
Abelian category
Abelian group Adams spectral sequence Additive category Affine space Algebra homomorphism Algebraic closure Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Atiyah–Hirzebruch spectral sequence Automorphism Boolean algebra (structure) CW complex Canonical map Cantor set Category of topological spaces Category theory Classification theorem Classifying space Cohomology operation Cohomology Cokernel Commutative algebra Commutative ring Complex projective space Complex vector bundle Computation Conjecture Conjugacy class Continuous function Contractible space Coproduct Differentiable manifold Disjoint union Division algebra Equation Explicit formulae (L-function) Functor G-module Groupoid Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Hopf algebra Hurewicz theorem Inclusion map Infinite product Integer Inverse limit Irreducible representation Isomorphism class K-theory Loop space Mapping cone (homological algebra) Mathematical induction Modular representation theory Module (mathematics) Monomorphism Moore space Morava K-theory Morphism N-sphere Noetherian ring Noetherian Noncommutative ring Number theory P-adic number Piecewise linear manifold Polynomial ring Polynomial Power series Prime number Principal ideal domain Profinite group Reduced homology Ring (mathematics) Ring homomorphism Ring spectrum Simplicial complex Simply connected space Smash product Special case Spectral sequence Steenrod algebra Sub"ient Subalgebra Subcategory Subring Symmetric group Tensor product Theorem Topological space Topology Vector bundle Zariski topology |
| ISBN | 1-4008-8248-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. The main theorems -- Chapter 2. Homotopy groups and the chromatic filtration -- Chapter 3. MU-theory and formal group laws -- Chapter 4. Morava's orbit picture and Morava stabilizer groups -- Chapter 5. The thick subcategory theorem -- Chapter 6. The periodicity theorem -- Chapter 7. Bousfield localization and equivalence -- Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems -- Chapter 9. The proof of the nilpotence theorem -- Appendix A. Some tools from homotopy theory -- Appendix B. Complex bordism and BP-theory -- Appendix C. Some idempotents associated with the symmetric group -- Bibliography -- Index |
| Record Nr. | UNINA-9910154751603321 |
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Ravenel Douglas C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt |
| Autore | Gasqui Jacques |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2004 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) | GoldschmidtHubert <1942-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Radon transforms
Grassmann manifolds |
| Soggetto non controllato |
Adjoint
Automorphism Cartan decomposition Cartan subalgebra Casimir element Closed geodesic Cohomology Commutative property Complex manifold Complex number Complex projective plane Complex projective space Complex vector bundle Complexification Computation Constant curvature Coset Covering space Curvature Determinant Diagram (category theory) Diffeomorphism Differential form Differential geometry Differential operator Dimension (vector space) Dot product Eigenvalues and eigenvectors Einstein manifold Elliptic operator Endomorphism Equivalence class Even and odd functions Exactness Existential quantification G-module Geometry Grassmannian Harmonic analysis Hermitian symmetric space Hodge dual Homogeneous space Identity element Implicit function Injective function Integer Integral Isometry Killing form Killing vector field Lemma (mathematics) Lie algebra Lie derivative Line bundle Mathematical induction Morphism Open set Orthogonal complement Orthonormal basis Orthonormality Parity (mathematics) Partial differential equation Projection (linear algebra) Projective space Quadric Quaternionic projective space Quotient space (topology) Radon transform Real number Real projective plane Real projective space Real structure Remainder Restriction (mathematics) Riemann curvature tensor Riemann sphere Riemannian manifold Rigidity (mathematics) Scalar curvature Second fundamental form Simple Lie group Standard basis Stokes' theorem Subgroup Submanifold Symmetric space Tangent bundle Tangent space Tangent vector Tensor Theorem Topological group Torus Unit vector Unitary group Vector bundle Vector field Vector space X-ray transform Zero of a function |
| ISBN |
1-282-15898-8
9786612158988 1-4008-2617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index |
| Record Nr. | UNINA-9910778216403321 |
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Gasqui Jacques
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| Princeton, N.J., : Princeton University Press, 2004 | ||
| 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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Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais
| Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (379 pages) |
| Disciplina | 513.83 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Atiyah-Singer index theorem
Differential topology Homology theory |
| Soggetto non controllato |
Addition
Adjoint Algebraic topology Algebraic variety Almost complex manifold Arf invariant Asymptotic expansion Atiyah–Singer index theorem Automorphism Axiom Banach space Big O notation Boundary value problem Bounded operator Characteristic class Chern class Cohomology Cokernel Compact operator Complex vector bundle Computation Connected component (graph theory) Coordinate system Corollary Cotangent bundle Differentiable function Differentiable manifold Differential operator Dimension (vector space) Dimension Disjoint union Division by zero Elliptic operator Elliptic partial differential equation Equivalence class Euclidean space Euler class Exact sequence Existential quantification Fiber bundle Formal power series Fourier transform Fredholm operator Functional analysis Gelfand Grothendieck group H-cobordism Hilbert space Hodge theory Homogeneous polynomial Homomorphism Homotopy Indeterminate (variable) Injective function Integer Isomorphism class Jet bundle K-theory L-theory Linear map Manifold Michael Atiyah Natural transformation Normal bundle Orientability Pairing Partial differential equation Polynomial ring Polynomial Principal bundle Projection (mathematics) Riemann–Roch theorem Ring (mathematics) Robert M. Solovay Sign convention Singular integral Sobolev inequality Spanning tree Special case Subgroup Submanifold Subring Suggestion Summation Surjective function Symmetric bilinear form Symmetric function Tangent bundle Tangent space Tensor product Theorem Todd class Topological vector space Uniqueness theorem Vector bundle Vector space |
| ISBN | 1-4008-8204-4 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE / Palais, Richard S. -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF / Borel, A. -- CHAPTER II. REVIEW OF K-THEORY / Solovay, Robert -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE / Solovay, Robert -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES / Palais, Richard S. -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS / Solovay, Robert M. -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS / Palais, Richard S. -- CHAPTER VII. FREDHDIM OPERATORS / Palais, Richard S. -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES / Palais, Richard S. -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER XI. THE SEELEY ALGEBRA / Palais, Richard S. -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX / Palaie, Richard S. -- CHAPTER XIII. WHITNEY SUMS / Palais, Richard S. -- CHAPTER XIV. TENSOR PRODUCTS / Palais, Richard S. -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) / Solovay, Robert M. -- CHAPTER XVI. CONSTRUCTION OF Intk / Palais, R. S. / Seeley, R. T. -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX / Palais, R. S. / Seeley, R. T. -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES / Floyd, E. E. -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS / Solovay, Robert M. -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY / Atiyah, M. F. -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS / Shih, Weishu -- Backmatter |
| Record Nr. | UNINA-9910154746103321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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