03592nam 22005775 450 991015474610332120260415124637.09781400882045140088204410.1515/9781400882045(CKB)3710000000628087(MiAaPQ)EBC4738657(DE-B1597)467936(OCoLC)979882336(DE-B1597)9781400882045(Perlego)736209(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."9780691080314 0691080313 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 theoryAtiyah-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