CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF

Chapters in this book

1. Frontmatter i
2. CONTENTS v
3. PREFACE ix
4. CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF 1
5. CHAPTER II. REVIEW OF K-THEORY 13
6. CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE 27
7. CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES 51
8. CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS 95
9. CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS 107
10. CHAPTER VII. FREDHDIM OPERATORS 119
11. CHAPTER VIII. CHAINS OP HILBERTIAN SPACES 125
12. CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE 147
13. CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE 155
14. CHAPTER XI. THE SEELEY ALGEBRA 175
15. CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX 185
16. CHAPTER XIII. WHITNEY SUMS 191
17. CHAPTER XIV. TENSOR PRODUCTS 197
18. CHAPTER XV. DEFINITION OF i_a AND i_t ON K(M) 215
19. CHAPTER XVI. CONSTRUCTION OF Int_k 235
20. CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX 285
21. CHAPTER XVIII. BORDISM GROUPS OF BUNDLES 303
22. CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS 313
23. APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY 337
24. APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS 353
25. Backmatter 368