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Atiyah-Singer Index Theorem: An Introduction
 
Amiya Mukherjee Indian Statistical Institute, Calcutta, India
A publication of Hindustan Book Agency
Atiyah-Singer Index Theorem
Hardcover ISBN:  978-93-80250-54-0
Product Code:  HIN/64
List Price: $60.00
AMS Member Price: $48.00
Please note AMS points can not be used for this product
Atiyah-Singer Index Theorem
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Atiyah-Singer Index Theorem: An Introduction
Amiya Mukherjee Indian Statistical Institute, Calcutta, India
A publication of Hindustan Book Agency
Hardcover ISBN:  978-93-80250-54-0
Product Code:  HIN/64
List Price: $60.00
AMS Member Price: $48.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    Hindustan Book Agency
    Volume: 642013; 276 pp
    MSC: Primary 58; 57; 55;

    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.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 642013; 276 pp
MSC: Primary 58; 57; 55;

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.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.