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Publication Date:
January 2012
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2011.133

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Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Hwang, Jun-Muk

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BerezinToeplitz quantization on Khler manifolds

1Universit Paris DiderotParis 7, UFR de Mathmatiques, Case 7012, Site Chevaleret, 75205 Paris Cedex 13, France

2Universitt zu Kln, Mathematisches Institut, Weyertal 86-90, 50931 Kln, Germany Institute of Mathematics Simion Stoilow, Romanian Academy, Bucharest, Romania

Citation Information: Journal fr die reine und angewandte Mathematik (Crelles Journal). Volume 2012, Issue 662, Pages 1–56, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2011.133, January 2012

Publication History:

Received: 27/09/2010;
Published Online: 26/02/2012

Abstract

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.

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