Atiyah-Singer index theorem : an introduction / Amiya Mukherjee.
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...
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| Main Author: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
New Delhi :
Hindustan Book Agency,
[2013]
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| Series: | Texts and readings in mathematics ;
69. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | 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. In an effort to make the demands on the reader's knowledge of background materials as modest as possible, the author supplies the proofs of almost every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, and the Atiyah-Segal-Singer fixed point theorem, etc. |
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| Physical Description: | 1 online resource (xii, 267 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9380250541 9789380250540 9386279606 9789386279606 |