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

MARC

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100 1 |a Ma, Xiaonan.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Holomorphic Morse Inequalities and Bergman Kernels  |h [electronic resource] /  |c by Xiaonan Ma, George Marinescu. 
246 3 |a Winner of the Ferran Sunyer i Balaguer Prize 2006 
250 |a 1st ed. 2007. 
264 1 |a Basel :  |b Birkhäuser Basel :  |b Imprint: Birkhäuser,  |c 2007. 
300 |a XIII, 422 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Progress in Mathematics,  |x 2296-505X ;  |v 254 
505 0 |a 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. 
520 |a 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 in local index theory developed by Bismut-Lebeau. The book includes the most recent results in the field and therefore opens perspectives on several active areas of research in complex, Kähler and symplectic geometry. A large number of applications are included, e.g., an analytic proof of the Kodaira embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, a compactification of complete Kähler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion. 
650 0 |a Geometry, Differential. 
650 0 |a Functions of complex variables. 
650 0 |a Global analysis (Mathematics). 
650 0 |a Manifolds (Mathematics). 
650 1 4 |a Differential Geometry. 
650 2 4 |a Several Complex Variables and Analytic Spaces. 
650 2 4 |a Global Analysis and Analysis on Manifolds. 
700 1 |a Marinescu, George.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783764391805 
776 0 8 |i Printed edition:  |z 9783764380960 
830 0 |a Progress in Mathematics,  |x 2296-505X ;  |v 254 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-7643-8115-8  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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