Work

Berezin–Toeplitz quantization on Kähler manifolds

Year: 2011

Type: article

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.

Source: Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI: 10.1515/crelle.2011.133

Authors: Xiaonan Ma, George Marinescu

Institutions: Université Paris Diderot, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Romanian Academy

Language: German

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2087085847

FWCI: 5.654

Cites: 34

Cited by: 69

Related to: 10