Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Holomorphic Morse Inequalities and Bergman Kernels

Holomorphic Morse Inequalities and Bergman Kernels

Ma, Xiaonan
Marinescu, George

Hardcover

Series: Progress in Mathematics, Book 254

General MathematicsGeometry

ISBN10: 3764380969
ISBN13: 9783764380960
Publisher: Birkhauser
Published: Jul 19 2007
Pages: 422
Weight: 1.93
Height: 1.06 Width: 6.37 Depth: 9.27
Language: English

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.

Also in

General Mathematics

View All