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Seminar on the Atiyah-Singer index theorem

저자: Richard S Palais; Michael Francis Atiyah; Institute for Advanced Study (Princeton, N.J.)
출판사: Princeton, N.J., Princeton University Press, 1965.
시리즈: Annals of mathematics studies, 57.
판/형식:   인쇄본 : 영어모든 판과 형식 보기
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The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), will be forthcoming.

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추가적인 물리적 형식: Online version:
Palais, Richard S.
Seminar on the Atiyah-Singer index theorem.
Princeton, N.J., Princeton University Press, 1965
(OCoLC)624509674
문서 유형 도서
모든 저자 / 참여자: Richard S Palais; Michael Francis Atiyah; Institute for Advanced Study (Princeton, N.J.)
ISBN: 0691080313 9780691080314
OCLC 번호: 529768
메모: "Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64."
설명: x, 366 pages 24 cm.
내용: Frontmatter, pg. iCONTENTS, pg. vPREFACE, pg. ixCHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF, pg. 1CHAPTER II. REVIEW OF K-THEORY, pg. 13CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE, pg. 27CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES, pg. 51CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS, pg. 95CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS, pg. 107CHAPTER VII. FREDHDIM OPERATORS, pg. 119CHAPTER VIII. CHAINS OP HILBERTIAN SPACES, pg. 125CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE, pg. 147CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE, pg. 155CHAPTER XI. THE SEELEY ALGEBRA, pg. 175CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX, pg. 185CHAPTER XIII. WHITNEY SUMS, pg. 191CHAPTER XIV. TENSOR PRODUCTS, pg. 197CHAPTER XV. DEFINITION OF ia AND it ON K(M), pg. 215CHAPTER XVI. CONSTRUCTION OF Intk, pg. 235CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX, pg. 285CHAPTER XVIII. BORDISM GROUPS OF BUNDLES, pg. 303CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS, pg. 313APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY, pg. 337APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS, pg. 353Backmatter, pg. 368
일련 제목: Annals of mathematics studies, 57.
책임: [edited] by Richard S. Palais. With contributions by M.F. Atiyah [and others].

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