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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie


IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

Online
ISSN
1435-5345
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Volume 2012, Issue 662

Issues

BerezinToeplitz quantization on Khler manifolds

Xiaonan Ma / George Marinescu
  • Universitt zu Kln, Mathematisches Institut, Weyertal 86-90, 50931 Kln, Germany Institute of Mathematics Simion Stoilow, Romanian Academy, Bucharest, Romania
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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.

About the article

Received: 2010-09-27

Published in Print: 2012-01-01


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: https://doi.org/10.1515/CRELLE.2011.133.

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[1]
Martin Puchol and Jialin Zhu
Pacific Journal of Mathematics, 2015, Volume 274, Number 2, Page 373
[2]
Tatyana Barron, Xiaonan Ma, George Marinescu, and Martin Pinsonnault
Journal of Mathematical Physics, 2014, Volume 55, Number 4, Page 042108

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