Holomorphic Morse Inequalities and Bergman Kernels 2024 pdf epub mobi 电子书

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发表于2024-11-10

Holomorphic Morse Inequalities and Bergman Kernels 2024 pdf epub mobi 电子书

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出版者:Springer Verlag

作者:Marinescu, George

出品人:

页数:422

译者:

出版时间:

价格:$ 111.87

装帧:HRD

isbn号码:9783764380960

丛书系列:Progress in Mathematics

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Holomorphic Morse Inequalities and Bergman Kernels 2024 pdf epub mobi 电子书图书描述

This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications. The main analytic tool is the analytic localization technique in local index theory developed by Bismut-Lebeau. The book includes the most recent results in the field and therefore opens perspectives on several active areas of research in complex, KAhler and symplectic geometry. A large number of applications are included, e.g., an analytic proof of the Kodaira embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, a compactification of complete KAhler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion.

Holomorphic Morse Inequalities and Bergman Kernels 2024 pdf epub mobi 电子书

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