Holomorphic Morse Inequalities and Bergman Kernels
Download or Read eBook Holomorphic Morse Inequalities and Bergman Kernels PDF 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.
Author | : Xiaonan Ma |
Publisher | : Springer Science & Business Media |
Total Pages | : 432 |
Release | : 2007-12-14 |
ISBN-10 | : 9783764381158 |
ISBN-13 | : 3764381159 |
Rating | : 4/5 (58 Downloads) |
Book Synopsis Holomorphic Morse Inequalities and Bergman Kernels by : Xiaonan Ma
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.