ISBN-10:
0691080313
ISBN-13:
9780691080314
Pub. Date:
09/21/1965
Publisher:
Princeton University Press
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57

Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57

by Richard S. Palais

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Product Details

ISBN-13: 9780691080314
Publisher: Princeton University Press
Publication date: 09/21/1965
Series: Annals of Mathematics Studies , #57
Pages: 376
Product dimensions: 6.00(w) x 9.00(h) x (d)

Table of Contents

  • 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



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