Електронна книга > Наука > Математика > Weiping Zhang: LECT ON CHERN-WEIL THEORY & WITTEN..(V4) (PDF)

Weiping Zhang
LECT ON CHERN-WEIL THEORY & WITTEN..(V4) [PDF ebook]

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Обкладинка Weiping Zhang: LECT ON CHERN-WEIL THEORY & WITTEN..(V4) (PDF)

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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Мова Англійська ● Формат PDF ● Сторінки 132 ● ISBN 9789812386588 ● Розмір файлу 3.7 MB ● Видавець World Scientific Publishing Company ● Місто Singapore ● Країна SG ● Опубліковано 2001 ● Завантажувані 24 місяців ● Валюта EUR ● Посвідчення особи 2445047 ● Захист від копіювання Adobe DRM

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