Lectures on Chern-Weil theory and Witten deformations Weiping Zhang. Nankai tracts in mathematics 4.

Zhang, Weiping:

ISBN 10: 9810246854 / ISBN 13: 9789810246853

Verlag: New York, World Scientific [2001]., 2001

Beschreibung

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 ZHA 9789810246853 Sprache: Englisch Gewicht in Gramm: 550.

Bestandsnummer des Verkäufers 2504307

Bibliografische Details

• Titel: Lectures on Chern-Weil theory and Witten deformations Weiping Zhang. Nankai tracts in mathematics 4.
• Verlag: New York, World Scientific [2001].
• Erscheinungsjahr: 2001
• Sprache: Englisch
• ISBN-10: 9810246854
• ISBN-13: 9789810246853
• Einband: Hardcover
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

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.

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.