Ioos, Louis, Lu, Wen, Ma, Xiaonan and Marinescu, George ORCID: 0000-0001-6539-7860 (2020). Berezin-Toeplitz Quantization for Eigenstates of the Bochner Laplacian on Symplectic Manifolds. J. Geom. Anal., 30 (3). S. 2615 - 2647. NEW YORK: SPRINGER. ISSN 1559-002X

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Abstract

We study the Berezin-Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian corresponding to eigenvalues localized near the origin on a symplectic manifold. We show that this quantization has the correct semiclassical behavior and construct the corresponding star-product.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Ioos, LouisUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Lu, WenUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Ma, XiaonanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Marinescu, GeorgeUNSPECIFIEDorcid.org/0000-0001-6539-7860UNSPECIFIED
URN: urn:nbn:de:hbz:38-327471
DOI: 10.1007/s12220-017-9977-y
Journal or Publication Title: J. Geom. Anal.
Volume: 30
Number: 3
Page Range: S. 2615 - 2647
Date: 2020
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1559-002X
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:
KeywordsLanguage
DEFORMATION-THEORY; KAHLER-MANIFOLDS; OPERATORSMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/32747

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