Holomorphic Morse inequalities and Bergman kernels

Resource Information

The work Holomorphic Morse inequalities and Bergman kernels represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Holomorphic Morse inequalities and Bergman kernels

Statement of responsibility

Xiaonan Ma, George Marinescu

Creator

• Ma, Xiaonan

Contributor

• Marinescu, George

Subject

• Bergman, Noyau de
• Fonctions holomorphes
• Holomorphic functions
• Inégalités variationnelles
• Morse theory
• Morse, Théorie de
• Symplectic manifolds
• Variational inequalities (Mathematics)
• Variétés symplectiques
• Bergman kernel functions

Language

eng

Summary

"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, Kahler 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 Kahler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion."--BOOK JACKET

Member of

• Progress in mathematics (Boston, Mass.), v. 254

Cataloging source

UKM

Dewey number

516.362

Index

index present

Literary form

non fiction

Nature of contents

bibliography

Series statement

Progress in mathematics

Series volume

v. 254