QUANTIZATION OF KAHLER-MANIFOLDS .2.

被引:125
作者
CAHEN, M [1 ]
GUTT, S [1 ]
RAWNSLEY, J [1 ]
机构
[1] UNIV WARWICK,INST MATH,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND
关键词
QUANTIZATION; KAHLER MANIFOLDS;
D O I
10.2307/2154310
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We use Berezin's dequantization procedure to define a formal *-product on a dense subalgebra of the algebra of smooth functions on a compact homogeneous Kahler manifold M. We prove that this formal *-product is convergent when M is a hermitian symmetric space.
引用
收藏
页码:73 / 98
页数:26
相关论文
共 9 条
[1]   GENERAL CONCEPT OF QUANTIZATION [J].
BEREZIN, FA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 40 (02) :153-174
[2]  
Cahen M., 1990, J GEOM PHYS, V7, P45
[3]   ISOMETRIC IMBEDDING OF COMPLEX MANIFOLDS [J].
CALABI, E .
ANNALS OF MATHEMATICS, 1953, 58 (01) :1-23
[4]  
COMBET E, 1982, LECTURE NOTES MATH, V937
[5]  
GRIFFITHS P, 1978, PRINCIPLES ALGEBRAIC
[6]  
Helgason S, 1962, DIFFERENTIAL GEOMETR
[7]  
HELGASON S, 1978, DIFFERENTIAL GEOMETR
[8]   STAR-PRODUCTS ON SOME KAHLER-MANIFOLDS [J].
MORENO, C .
LETTERS IN MATHEMATICAL PHYSICS, 1986, 11 (04) :361-372
[9]  
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