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Lectures On Chern-weil Theory And Witten Deformations
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Lectures On Chern-weil Theory And Witten Deformations (Hardback)

£48.00
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Synopsis

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.

Science & MathematicsMathematicsGeometryDifferential & Riemannian geometryScience & MathematicsMathematicsTopologyScience & MathematicsPhysics Publisher: World Scientific Publishing Co Pte Ltd Publication Date: 25/09/2001 ISBN-13: 9789810246853  Details: Type: Hardback Format: Books
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