Toeplitz Operators on CR Manifolds and Group Actions

被引：3
|
作者：
Galasso, Andrea [1 ]
Hsiao, Chin-Yu [2 ]
机构：
[1] Natl Taiwan Univ, Natl Ctr Theoret Sci, Room 407,Chee Chun Leung Cosmol Hall, Taipei, Taiwan
[2] Acad Sinica, Inst Math, 6F Astron Math Bldg 1,Sec 4, Taipei, Taiwan
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 01期
关键词：
CR manifolds; Toeplitz operators; Group actions; Star products; KAHLER-MANIFOLDS; QUANTIZATION;
D O I：
10.1007/s12220-022-01078-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a connected orientable compact CR manifold with non-degenerate Levi form. In this paper, we study the algebra of Toeplitz operators on X and we establish star product for a certain class of symbols on X. In the second part of this paper, we consider a locally free action of a compact Lie group G on X and we investigate the associated algebra of G-invariant Toeplitz operators. The main application is a construction of deformation quantization of compact "quantizable" pseudo-Kahler manifolds.
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页数：55
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