Lectures on Chern-Weil Theory and Witten Deformations pdf epub mobi txt 電子書下載2025

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出版者:World Scientific Publishing Co Pte Ltd

作者:Zhang, Weiping

出品人:

頁數:132

译者:

出版時間:2001-9-25

價格:GBP 48.00

裝幀:Hardcover

isbn號碼:9789810246853

叢書系列:Nankai Tracts in Mathematics

圖書標籤:

數學
微分幾何
數學物理
幾何
微分幾何7
學術讀物
weil
WS

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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.