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Lectures On Chern-weil Theory And Witten Deformations

By (author) Weiping Zhang





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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.

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Normally shipped | Enquiries only
Publisher | World Scientific Publishing Co Pte Ltd
Published date | 25 Sep 2001
Language |
Format | Hardback
Pages | 132
Dimensions | 0 x 0 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-9-8102-4685-3
Readership Age |
BISAC | mathematics / topology


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