Atiyah-Singer Index Theorem - An Introduction : An Introduction
Book Details
Format
Hardback or Cased Book
Book Series
Texts and Readings in Mathematics
ISBN-10
9380250541
ISBN-13
9789380250540
Publisher
Hindustan Book Agency
Imprint
Hindustan Book Agency
Country of Manufacture
IN
Country of Publication
GB
Publication Date
Oct 30th, 2013
Print length
276 Pages
Product Classification:
Mathematics
Ksh 8,650.00
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This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K-theoretic index theorem and its representation in terms of cohomological characteristic classes, with an effort to make the demands on the knowledge of background materials as modest as possible by supplying the proofs of all most every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, Atiyah-Segal-Singer fixed point theorem, etc.
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