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Holomorphic Morse Inequalities and Bergman Kernels
Xiaonan Ma
(Author)
·
George Marinescu
(Author)
·
Birkhauser
· Hardcover
Holomorphic Morse Inequalities and Bergman Kernels - Ma, Xiaonan ; Marinescu, George
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Synopsis "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. The point of view comes from local index theory. The book 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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
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