Items related to Lectures on Chern-Weil Theory and Witten Deformations
Synopsis
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.
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From the Publisher
Readership: Graduate students and researchers in differential geometry, topology and mathematical physics
Review
"The book gives an excellent introduction to these analytic techniques" -- Mathematical Reviews, 2002
This book is noteworthy for its combination of brevity, clarity, accessibility, and depth. -- Mathematics Abstracts
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Lectures on Chern-Weil Theory and Witten Deformations
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Lectures on Chern-Weil Theory and Witten Deformations
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Condition: New. InhaltsverzeichnisChern-Weil theory for characteristic classes Bott and Duistermaat-Heckman formulas Gauss-Bonnet-Chern theorem Poincar -Hopf index formula - an analytic proof morse inequalities - an analytic proof Thom-Smale and Wi. Seller Inventory # 909656745
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