Universität zu Köln

Kordyukov, Yuri A. ORCID: 0000-0003-2957-2873, Ma, Xiaonan ORCID: 0000-0001-8960-7623 and Marinescu, George ORCID: 0000-0001-6539-7860 (2019). Generalized Bergman kernels on symplectic manifolds of bounded geometry. Commun. Partial Differ. Equ., 44 (11). S. 1037 - 1072. PHILADELPHIA: TAYLOR & FRANCIS INC. ISSN 1532-4133

Full text not available from this repository.

Abstract

We study the asymptotic behavior of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a symplectic manifold of bounded geometry. First, we establish the off-diagonal exponential estimate for the generalized Bergman kernel. As an application, we obtain the relation between the generalized Bergman kernel on a Galois covering of a compact symplectic manifold and the generalized Bergman kernel on the base. Then we state the full off-diagonal asymptotic expansion of the generalized Bergman kernel, improving the remainder estimate known in the compact case to an exponential decay. Finally, we establish the theory of Berezin-Toeplitz quantization on symplectic orbifolds associated with the renormalized Bochner-Laplacian.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kordyukov, Yuri A. UNSPECIFIED orcid.org/0000-0003-2957-2873 UNSPECIFIED Ma, Xiaonan UNSPECIFIED orcid.org/0000-0001-8960-7623 UNSPECIFIED Marinescu, George UNSPECIFIED orcid.org/0000-0001-6539-7860 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-128290
DOI:	10.1080/03605302.2019.1611849
Journal or Publication Title:	Commun. Partial Differ. Equ.
Volume:	44
Number:	11
Page Range:	S. 1037 - 1072
Date:	2019
Publisher:	TAYLOR & FRANCIS INC
Place of Publication:	PHILADELPHIA
ISSN:	1532-4133
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language OPERATORS; THEOREM; POWERS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/12829