Description
Birkhauser Verlag AG Holomorphic Morse Inequalities And Bergman Kernels by Xiaonan Ma George Marinescu
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 Kahler 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 Kahler manifolds of pinched negative curvature Berezin-Toeplitz quantization weak Lefschetz theorems and asymptotics of the Ray-Singer analytic torsion.