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Holomorphic Morse Inequalities and Bergman Kernels

Bag om Holomorphic Morse Inequalities and Bergman Kernels

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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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783764380960
  • Indbinding:
  • Hardback
  • Sideantal:
  • 440
  • Udgivet:
  • 19. juli 2007
  • Størrelse:
  • 160x30x241 mm.
  • Vægt:
  • 822 g.
  • BLACK NOVEMBER
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Leveringstid: 8-11 hverdage
Forventet levering: 20. november 2024

Beskrivelse af Holomorphic Morse Inequalities and Bergman Kernels

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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