Titlebook: Holomorphic Morse Inequalities and Bergman Kernels; Xiaonan Ma,George Marinescu Book 2007 Birkh?user Basel 2007 Analytic torsion.Bergman k

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Holomorphic Morse Inequalities and Bergman Kernels

Licentious

細(xì)菌等

個(gè)人長(zhǎng)篇演說(shuō)

,Demailly’s Holomorphic Morse Inequalities,The first aim of this chapter is to provide the background material on differential geometry for the whole book. Then, in the last two sections, we present a heat kernel proof of Demailly’s holomorphic Morse inequalities, Theorem 1.7.1.

密切關(guān)系

concise

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Xiaonan Ma,George MarinescuMost of the material appears for the first time in book form.New approach to the holomorphic Morse inequalities and Bergman kernel expansions.Exploits the analytic localization techniques in local ind

思想

formula

Toeplitz Operators,tensor powers of a positive line bundle over a compact manifold. In particular we obtain a construction of a star-product (a deformation quantization) using this technique. Moreover, our approach works with some modifications on non-compact and symplectic manifolds.