Lectures on Chern-Weil Theory and Witten Deformations pdf epub mobi txt 电子书 下载 2025
出版者:World Scientific Pub Co Inc
作者:Weiping Zhang
出品人:
页数:110
译者:
出版时间:2002-11-1
价格:USD 28.00
装帧:Paperback
isbn号码:9789810246860
丛书系列:
图书标签:
- Chern-Weil Theory
- Witten Deformations
- Differential Geometry
- Topology
- Characteristic Classes
- Mathematical Physics
- Gauge Theory
- Fiber Bundles
- Cohomology
- Algebraic Geometry
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具体描述
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.
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