Download E-books Holomorphic Morse Inequalities and Bergman Kernels (Progress in Mathematics) PDF

This publication examines holomorphic Morse inequalities and the asymptotic growth of the Bergman kernel on manifolds by utilizing the warmth kernel. It opens views on a number of energetic components of analysis in complicated, Kähler and symplectic geometry. various purposes also are incorporated, akin to an analytic evidence of Kodaira's embedding theorem, an answer of the Grauert-Riemenschneider and Shiffman conjectures, compactification of whole Kähler manifolds of pinched unfavourable curvature, Berezin-Toeplitz quantization, susceptible Lefschetz theorems, and asymptotics of the Ray-Singer analytic torsion.

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