Format:
1 Online-Ressource (x, 366 pages)
Edition:
Online-Ausg. [S.l.] HathiTrust Digital Library Electronic reproduction
ISBN:
0691080313
,
1400882044
,
9780691080314
,
9781400882045
Series Statement:
Annals of mathematics studies number 57
Content:
This book consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64 upon the initiative of A. Borel. Aside from going through the details of the proof of the Index Theorem, the major emphasis of the seminar was placed on developing the topological and analytical machinery associated with integro-differential operators. On the topological side the agreement was to assume a reasonable degree of sophistication. Thus, the basic facts concerning K-theory and characteristic classes are reviewed rather than proved and the emphasis is on showing how, with these tools, elliptic operators give rise to cohomology classes and on studying the properties of these classes. On the analytical side, it was decided to start more or less ab initio. The reason for this somewhat unbalanced exposition is in part due to the predilections of the organizers of the seminar, but also in part it is due to the fact that while most of the algebraic topology involved is covered in complete detail in easily accessible published papers, much of the analysis is quite recent, and the published versions often refer explicitly only to the case of trivial bundles over domains in Euclidean space
Note:
"Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64
,
Includes bibliographical references
,
Use copy Restrictions unspecified star MiAaHDL
,
Electronic reproduction
,
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Additional Edition:
Erscheint auch als Druck-Ausgabe Palais, Richard S Seminar on the Atiyah-Singer index theorem Princeton, N.J., Princeton University Press, 1965
Language:
English
Subjects:
Mathematics
URL:
Volltext
(lizenzpflichtig)
Author information:
Atiyah, Michael Francis 1929-2019
Author information:
Palais, Richard S. 1931-
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