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Holomorphic Morse Inequalities and Bergman Kernels Book

Holomorphic Morse Inequalities and Bergman Kernels
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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 numbe, Holomorphic Morse Inequalities and Bergman Kernels
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  • Holomorphic Morse Inequalities and Bergman Kernels
  • Written by author Xiaonan Ma
  • Published by Springer-Verlag New York, LLC, 8/28/2008
  • 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 numbe
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Authors

0. Introduction.- 1. Demailly's Holomorphic Morse Inequalities.- 2. Characterization of Moishezon Manifolds.- 3. Holomorphic Morse Inequalities on Non-compact Manifolds.- 4. Asymptotic Expansion of the Bergman Kernel.- 5. Kodaira Map.- 6. Bergman Kernel on Non-compact Manifolds.- 7. Toeplitz Operators.- 8. Bergman Kernels on Symplectic Manifolds.- Appendix.- A. Sobolev Spaces - B. Elements of Analytic and Hermitian Geometry - C. Spectral Analysis of Self-adjoint Operators - D. Heat Kernel and Finite Propagation Speed - E. Harmonic Oscillator.


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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 numbe, Holomorphic Morse Inequalities and Bergman Kernels

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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 numbe, Holomorphic Morse Inequalities and Bergman Kernels

Holomorphic Morse Inequalities and Bergman Kernels

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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 numbe, Holomorphic Morse Inequalities and Bergman Kernels

Holomorphic Morse Inequalities and Bergman Kernels

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