Lectures On Chern-weil Theory And Witten Deformations

AvWeiping Zhang

Häftad, Engelska, 2001

Del 4 i serien Nankai Tracts in Mathematics

419 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2001-09-25
Mått:150 x 209 x 10 mm
Vikt:192 g
Format:Häftad
Språk:Engelska
Serie:Nankai Tracts in Mathematics
Antal sidor:132
Förlag:World Scientific Publishing Co Pte Ltd
ISBN:9789810246860

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik

Innehållsförteckning

Chern-Weil theory for characteristic classes; Bott and Duistermaat-Heckman formulas; Gauss-Bonnet-Chern theorem; Poincar -Hopf index formula - an analytic proof; morse inequalities - an analytic proof; Thom-Smale and Witten complexes; Atiyah theorem on Kervaire Semi-characteristic.