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Licensed Unlicensed Requires Authentication Published by De Gruyter January 1, 2012

BerezinToeplitz quantization on Khler manifolds

Xiaonan Ma and George Marinescu
From the journal


We study BerezinToeplitz quantization on Khler 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 BerezinToeplitz operators, and of the composition of two BerezinToeplitz operators. As an application, we estimate the norm of Donaldson's Q-operator.

Received: 2010-09-27
Published Online: 2012-January
Published in Print: 2012-January

Walter de Gruyter Berlin New York 2012