Holomorphic Morse Inequalities And Bergman Kernels at Meripustak

Holomorphic Morse Inequalities And Bergman Kernels

Books from same Author: Xiaonan Ma  George Marinescu

Books from same Publisher: Birkhauser Verlag AG

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  • General Information  
    Author(s)Xiaonan Ma  George Marinescu
    PublisherBirkhauser Verlag AG
    Edition2007
    ISBN9783764380960
    Pages422
    BindingHardback
    LanguageEnglish
    Publish YearSeptember 2007

    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.