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Lectures On Chern-weil Theory And Witten Deformations by Weiping Zhang 9789810246860

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Description

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.

Book Information
ISBN 9789810246860
Author Weiping Zhang
Format Paperback
Page Count 132
Imprint World Scientific Publishing Co Pte Ltd
Publisher World Scientific Publishing Co Pte Ltd

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