Atiyah Singer Index Theorem An Introduction
Download Atiyah Singer Index Theorem An Introduction PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Atiyah Singer Index Theorem An Introduction book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Atiyah-Singer Index Theorem - An Introduction
Author: Amiya Mukherjee
language: en
Publisher: Hindustan Book Agency
Release Date: 2013-10-30
Offers a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is 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.
Atiyah-Singer Index Theorem - An Introduction
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.