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
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: |
|
||||||||||||||||
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: |
|
||||||||||||||||
Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/12829 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
![]() |
View Item |