Holomorphic Morse Inequalities and Bergman Kernels

• Κύριοι συγγραφείς: Ma, Xiaonan (Συγγραφέας), Marinescu, George (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2007.
• Σειρά: Progress in Mathematics ; 254
• Θέματα: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of complex variables.; Differential geometry.; Differential Geometry.; Several Complex Variables and Analytic Spaces.; Global Analysis and Analysis on Manifolds.

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...

Πίνακας περιεχομένων:

• 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.