Seminar on the Atiyah-Singer Index Theorem. (AM-57), Volume 57
Princeton University Press (Verlag)
978-0-691-08031-4 (ISBN)
*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
Erscheint lt. Verlag | 21.9.1965 |
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Reihe/Serie | Annals of Mathematics Studies |
Verlagsort | New Jersey |
Sprache | englisch |
Maße | 152 x 229 mm |
Gewicht | 539 g |
Themenwelt | Mathematik / Informatik ► Mathematik |
ISBN-10 | 0-691-08031-3 / 0691080313 |
ISBN-13 | 978-0-691-08031-4 / 9780691080314 |
Zustand | Neuware |
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