Holomorphic Morse Inequalities and Bergman Kernels

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 i...

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Bibliographic Details
Main Authors: Ma, Xiaonan (Author), Marinescu, George (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Basel : Birkhäuser Basel, 2007.
Series:Progress in Mathematics ; 254
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Demailly’s Holomorphic Morse Inequalities
  • Characterization of Moishezon Manifolds
  • Holomorphic Morse Inequalities on Non-compact Manifolds
  • Asymptotic Expansion of the Bergman Kernel
  • Kodaira Map
  • Bergman Kernel on Non-compact Manifolds
  • Toeplitz Operators
  • Bergman Kernels on Symplectic Manifolds.