Free Delivery Over $100
|
|
|||
|
||||
OverviewThis 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.Contents: Chern–Weil Theory for Characteristic ClassesBott and Duistermaat–Heckman FormulasGauss–Bonnet–Chern TheoremPoincaré–Hopf Index Formula: An Analytic ProofMorse Inequalities: An Analytic ProofThom–Smale and Witten ComplexesAtiyah Theorem on Kervaire Semi-characteristicReadership: Graduate students and researchers in differential geometry, topology and mathematical physics. Full Product DetailsAuthor: Weiping ZhangPublisher: World Scientific Publishing Company Imprint: World Scientific Publishing Company ISBN: 9781299990852ISBN 10: 1299990851 Pages: 131 Publication Date: 01 January 2001 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
