Atiyah-Singer Index Theorem: An Introduction - Rilegato

Mukherjee, Amiya

Rilegato

ISBN 10: 9380250541 ISBN 13: 9789380250540

Casa editrice: Amer Mathematical Society, 2013

Riassunto

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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Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 9380250541
• ISBN 13: 9789380250540
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 267
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile