Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / ed. by Richard S. Palais.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• MitwirkendeR: Atiyah, M. F.,; Borel, A.,; Floyd, E. E.,; Palaie, Richard S.,; Palais, R. S.,; Palais, Richard S.,; Seeley, R. T.,; Shih, Weishu,; Solovay, Robert M.,; Solovay, Robert,
• HerausgeberIn: Palais, Richard S.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1966
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 57
• Physical Description: 1 online resource (376 p.)

The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.

Table of Contents

• Frontmatter
• CONTENTS
• PREFACE
• CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF
• CHAPTER II. REVIEW OF K-THEORY
• CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE
• CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES
• CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS
• CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS
• CHAPTER VII. FREDHDIM OPERATORS
• CHAPTER VIII. CHAINS OP HILBERTIAN SPACES
• CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE
• CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE
• CHAPTER XI. THE SEELEY ALGEBRA
• CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX
• CHAPTER XIII. WHITNEY SUMS
• CHAPTER XIV. TENSOR PRODUCTS
• CHAPTER XV. DEFINITION OF ia AND it ON K(M)
• CHAPTER XVI. CONSTRUCTION OF Intk
• CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX
• CHAPTER XVIII. BORDISM GROUPS OF BUNDLES
• CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS
• APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY
• APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS
• Backmatter