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Seminar on the Atiyah-Singer index theorem

Autore: Richard S Palais; Michael Francis Atiyah; Institute for Advanced Study (Princeton, N.J.)
Pubblicazione: Princeton, N.J., Princeton University Press, 1965.
Serie: Annals of mathematics studies, 57.
Edizione/Formato:   Libro a stampa : EnglishVedi tutte le edizioni e i formati
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Informazioni aggiuntive sul formato: Online version:
Palais, Richard S.
Seminar on the Atiyah-Singer index theorem.
Princeton, N.J., Princeton University Press, 1965
(OCoLC)624509674
Tipo documento Libro
Tutti gli autori / Collaboratori: Richard S Palais; Michael Francis Atiyah; Institute for Advanced Study (Princeton, N.J.)
ISBN: 0691080313 9780691080314
Numero OCLC: 529768
Note: "Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64."
Descrizione: x, 366 pages 24 cm.
Contenuti: *Frontmatter, pg. i*CONTENTS, pg. v*PREFACE, pg. ix*CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF, pg. 1*CHAPTER II. REVIEW OF K-THEORY, pg. 13*CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE, pg. 27*CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES, pg. 51*CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS, pg. 95*CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS, pg. 107*CHAPTER VII. FREDHDIM OPERATORS, pg. 119*CHAPTER VIII. CHAINS OP HILBERTIAN SPACES, pg. 125*CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE, pg. 147*CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE, pg. 155*CHAPTER XI. THE SEELEY ALGEBRA, pg. 175*CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX, pg. 185*CHAPTER XIII. WHITNEY SUMS, pg. 191*CHAPTER XIV. TENSOR PRODUCTS, pg. 197*CHAPTER XV. DEFINITION OF ia AND it ON K(M), pg. 215*CHAPTER XVI. CONSTRUCTION OF Intk, pg. 235*CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX, pg. 285*CHAPTER XVIII. BORDISM GROUPS OF BUNDLES, pg. 303*CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS, pg. 313*APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY, pg. 337*APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS, pg. 353*Backmatter, pg. 368
Titolo della serie: Annals of mathematics studies, 57.
Responsabilità: [edited] by Richard S. Palais. With contributions by M.F. Atiyah [and others].

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