Lectures on Chern Weil Theory and Witten Deformations is popular PDF and ePub book, written by Weiping Zhang in 2001, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on Chern Weil Theory and Witten Deformations can be Read Online from any device for your convenience.
Lectures on Chern Weil Theory and Witten Deformations Book PDF 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 ShiingOCoshen Chern and Andr(r) Weil, as well as a proof of the GaussOCoBonnetOCoChern theorem based on the MathaiOCoQuillen construction of Thom forms; the second part presents analytic proofs of the Poincar(r)OCoHopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten. Contents: ChernOCoWeil Theory for Characteristic Classes; Bott and DuistermaatOCoHeckman Formulas; GaussOCoBonnetOCoChern Theorem; Poincar(r)OCoHopf Index Formula: An Analytic Proof; Morse Inequalities: An Analytic Proof; ThomOCoSmale and Witten Complexes; Atiyah Theorem on Kervaire Semi-characteristic. Readership: Graduate students and researchers in differential geometry, topology and mathematical physics."
Detail Book of Lectures on Chern Weil Theory and Witten Deformations PDF
- Author : Weiping Zhang
- Release : 29 September 2024
- Publisher : World Scientific
- ISBN : 9789812386588
- Genre : Mathematics
- Total Page : 131 pages
- Language : English
- PDF File Size : 19,6 Mb
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