Seminar on the Atiyah-Singer Index Theorem
A classic treatment of the Atiyah-Singer index theorem from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

1002508397
Seminar on the Atiyah-Singer Index Theorem
A classic treatment of the Atiyah-Singer index theorem from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

137.0 In Stock
Seminar on the Atiyah-Singer Index Theorem

Seminar on the Atiyah-Singer Index Theorem

by Richard S. Palais (Editor)
Seminar on the Atiyah-Singer Index Theorem

Seminar on the Atiyah-Singer Index Theorem

by Richard S. Palais (Editor)

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Overview

A classic treatment of the Atiyah-Singer index theorem from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.


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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