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Lectures on Chern-Weil Theory and Witten Deformations 1st Edition 9.0%OFF

Lectures on Chern-Weil Theory and Witten Deformations 1st Edition

by Weiping Zhang

  • ISBN

    :  

    9789810246860

  • Publisher

    :  

    World Scientific Publishing Company

  • Subject

    :  

    Medical Study & Revision Guides & Reference Material

  • Binding

    :  

    Paperback

  • Year

    :  

    2001

6525.0

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  • Description

    Based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics, this volume consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincar-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.

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