Holomorphic Morse Inequalities and Bergman Kernels 在線電子書 圖書標籤:
發表於2024-11-26
Holomorphic Morse Inequalities and Bergman Kernels 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
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.
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Holomorphic Morse Inequalities and Bergman Kernels 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024