Holomorphic Morse Inequalities and Bergman Kernels

Holomorphic Morse Inequalities and Bergman Kernels
Author :
Publisher : Springer Science & Business Media
Total Pages : 432
Release :
ISBN-10 : 9783764381158
ISBN-13 : 3764381159
Rating : 4/5 (159 Downloads)

Book Synopsis Holomorphic Morse Inequalities and Bergman Kernels by : Xiaonan Ma

Download or read book Holomorphic Morse Inequalities and Bergman Kernels written by Xiaonan Ma and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. It opens perspectives on several active areas of research in complex, Kähler and symplectic geometry. A large number of applications are also included, such as an analytic proof of Kodaira's embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, compactification of complete Kähler manifolds of pinched negative curvature, Berezin-Toeplitz quantization, weak Lefschetz theorems, and asymptotics of the Ray-Singer analytic torsion.

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This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen arti