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.
發表於2024-12-18
Lectures on Chern-Weil Theory and Witten Deformations 2024 pdf epub mobi 電子書 下載
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
用來開拓眼界挺好的
評分用來開拓眼界挺好的
評分越看到後麵越覺得難以讀懂。。。還不如直接看他引用的那幾篇paper。。。 zhangweiping當然是國內這方麵第一人,寫的好像太簡陋瞭。。。要不是我東看西看瞭這方麵的野知識很難看完。。。但是看掉的部分也足夠我做畢設瞭,所以就不看啦。
評分用來開拓眼界挺好的
評分用來開拓眼界挺好的
Lectures on Chern-Weil Theory and Witten Deformations 2024 pdf epub mobi 電子書 下載