On the composition of Berezin-Toeplitz operators on symplectic manifolds

被引：2
|
作者：
Ioos, Louis [1 ]
机构：
[1] Univ Paris Diderot, Inst Math Jussieu Paris Rive Gauche, Paris 7, Case 7012, F-75205 Paris 13, France
来源：
MATHEMATISCHE ZEITSCHRIFT | 2018年 / 290卷 / 1-2期
关键词：
ASYMPTOTIC-EXPANSION; KAHLER-MANIFOLDS; BERGMAN-KERNEL; QUANTIZATION;
D O I：
10.1007/s00209-017-2030-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the second coefficient of the composition of two Berezin-Toeplitz operators associated with the spin(c) Dirac operator on a symplectic manifold, making use of the full-off diagonal expansion of the Bergman kernel.
引用
收藏
页码：539 / 559
页数：21
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