Holomorphic Morse Inequalities and Bergman Kernels

• Main Authors: Ma, Xiaonan (Author), Marinescu, George (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Progress in Mathematics ; 254
• Subjects: 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...