**Hindustan Book Agency**

Volume: 64;
2013;
276 pp;
Hardcover

MSC: Primary 58; 57; 55;
**Print ISBN: 978-93-80250-54-0
Product Code: HIN/64**

List Price: $60.00

Individual Member Price: $48.00

# Atiyah-Singer Index Theorem: An Introduction

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*Amiya Mukherjee*

A publication of Hindustan Book Agency

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.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

#### Table of Contents

# Table of Contents

## Atiyah-Singer Index Theorem: An Introduction

#### Readership

Graduate students and research mathematicians interested in \(K\)-theoretic index theorem.