# 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.

#### Readership

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