Holomorphic Morse Inequalities and Bergman Kernels

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  • Holomorphic Morse Inequalities and Bergman Kernels Book Detail

  • Author : Xiaonan Ma
  • Release Date : 2007-12-14
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 432
  • ISBN 13 : 3764381159
  • File Size : 15,15 MB

Holomorphic Morse Inequalities and Bergman Kernels by Xiaonan Ma PDF Summary

Book Description: 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, Kähler 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 Kähler manifolds of pinched negative curvature, Berezin-Toeplitz quantization, weak Lefschetz theorems, and asymptotics of the Ray-Singer analytic torsion.

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