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Pré-Publication, Document De Travail Année : 2012

Berezin-Toeplitz quantization on Kaehler manifolds

Résumé

We study the Berezin-Toeplitz quantization on Kaehler manifolds. We explain first how to compute various associated asymptotic expansions, then we compute explicitly the first terms of the expansion of the kernel of the Berezin-Toeplitz operators, and of the composition of two Berezin-Toeplitz operators. As application we estimate the norm of Donaldson's Q-operator.

Dates et versions

hal-00872364 , version 1 (11-10-2013)

Identifiants

Citer

Xiaonan Ma, George Marinescu. Berezin-Toeplitz quantization on Kaehler manifolds. 2012. ⟨hal-00872364⟩
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