Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais

• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1966
• Descrizione fisica: 1 online resource (379 pages)
• Disciplina: 513.83
• 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
• Classificazione: SK 350
• Persona (resp. second.): PalaisRichard S.
• Note generali: "Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64."
• Nota di bibliografia: Includes bibliographies.
• 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
• Sommario/riassunto: The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.
• Titolo autorizzato: Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57
• ISBN: 1-4008-8204-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154746103321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 57.