Lectures on Chern-Weil theory and Witten deformations /

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Bibliographic Details
Author / Creator:Zhang, Weiping, 1964-
Imprint:River Edge, N.J. : World Scientific, ©2001.
Description:1 online resource (xi, 117 pages).
Language:English
Series:Nankai tracts in mathematics ; 4
Nankai tracts in mathematics ; v. 4.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11218184
Hidden Bibliographic Details
ISBN:9812386580
9789812386588
9789810246853
9810246854
9810246862
Notes:Includes bibliographical references and index.
Print version record.
Summary: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 André 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 Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
Other form:Print version: Zhang, Weiping. Lectures on Chern-Weil theory and Witten deformations. River Edge, N.J. : World Scientific, ©2001