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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ma, Xiaonan (Autor), Marinescu, George (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Colección:Progress in Mathematics, 254
Temas:
Geometry, Differential.
Functions of complex variables.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential Geometry.
Several Complex Variables and Analytic Spaces.
Global Analysis and Analysis on Manifolds.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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