arXiv:1009.4405 Abstract | arXiv Analytics

arXiv:1009.4405 [math.DG]Abstract References Reviews Resources

Berezin-Toeplitz quantization on Kaehler manifolds

Published 2010-09-22, updated 2012-03-13Version 3

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.

Comments: 45 pages, footnote at page 3 and Remark 0.5 added; v.3 is a final update to agree with the published paper

Journal: J. Reine Angew. Math. 662 (2012), 1-56

Categories: math.DG, math-ph, math.CV, math.MP, math.QA

Subjects: 53D50, 53C21, 32Q15

Keywords: kaehler manifolds, berezin-toeplitz quantization, berezin-toeplitz operators, explain first, associated asymptotic expansions

Tags: journal article

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