Zhang Weiping Zhang 
Lectures On Chern-weil Theory And Witten Deformations [PDF ebook] 

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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 Andre 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 Poincare-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.

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Sprache Englisch ● Format PDF ● Seiten 132 ● ISBN 9789814490627 ● Verlag World Scientific Publishing Company ● Erscheinungsjahr 2001 ● herunterladbar 3 mal ● Währung EUR ● ID 8098344 ● Kopierschutz Adobe DRM
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