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Inhaltsangabe
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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Reseña del editor
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.
Reseña del editor
Based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics, this volume consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr 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 Poincar-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
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Lectures on Chern-weil Theory and Witten Deformations
Verlag:
World Scientific Publishing Co Pte Ltd, 2001
ISBN 10: 9810246862
ISBN 13: 9789810246860
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Zustand: Used - Very Good. VG paperback. A clean, tidy copy. Nankai Tracts in Mathematics, vol. 4. 118pp. Artikel-Nr. BOOKS320553I
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Lectures On Chern-weil Theory And Witten Deformations
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World Scientific Publishing Company, 2001
ISBN 10: 9810246862
ISBN 13: 9789810246860
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ISBN 10: 9810246862
ISBN 13: 9789810246860
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Taschenbuch. Zustand: Neu. Neuware - 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. Artikel-Nr. 9789810246860
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Lectures on Chern-Weil Theory and Witten Deformations.
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Singapore: World Scientific, 2001
ISBN 10: 9810246862
ISBN 13: 9789810246860
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Paperback. Zustand: Very Good. Series: Nankai Tracts in Mathematics. x 116p slim paperback, yellow cover, fresh and clean copy, as new Language: English. Artikel-Nr. 232832
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