Lectures On Chern-weil Theory And Witten Deformations, PDF eBook

Lectures On Chern-weil Theory And Witten Deformations PDF

Part of the Nankai Tracts In Mathematics series

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Description

This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics.

It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andre 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 Poincare-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.

Information

  • Format: PDF
  • Pages: 132 pages
  • Publisher: World Scientific Publishing Company
  • Publication Date:
  • Category: Number theory
  • ISBN: 9789812386588

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