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- Title
BerezinToeplitz quantization on Khler manifolds.
- Authors
Ma, Xiaonan; Marinescu, George
- 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.
- Subjects
GEOMETRIC quantization; KAHLERIAN manifolds; ASYMPTOTIC expansions; KERNEL (Mathematics); OPERATOR theory
- Publication
Journal für die Reine und Angewandte Mathematik, 2012, Vol 2012, Issue 662, p1
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/CRELLE.2011.133