06727nam 22016935 450 991015474610332120190708092533.01-4008-8204-410.1515/9781400882045(CKB)3710000000628087(MiAaPQ)EBC4738657(DE-B1597)467936(OCoLC)979882336(DE-B1597)9781400882045(EXLCZ)99371000000062808720190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierSeminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 /Richard S. PalaisPrinceton, NJ : Princeton University Press, [2016]©19661 online resource (379 pages)Annals of Mathematics Studies ;330"Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64."0-691-08031-3 Includes bibliographies.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 -- BackmatterThe description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.Annals of mathematics studies ;no. 57.Atiyah-Singer index theoremDifferential topologyHomology theoryAddition.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.Atiyah-Singer index theorem.Differential topology.Homology theory.513.83SK 350rvkPalais Richard S., Institute for Advanced Study (Princeton, N.J.),DE-B1597DE-B1597BOOK9910154746103321Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 572788524UNINA