The Kauffman bracket skein as an algebra of observables

被引:9
作者
Bullock, D [1 ]
Frohman, C
Kania-Bartoszynska, J
机构
[1] Boise State Univ, Dept Math, Boise, ID 83725 USA
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
关键词
D O I
10.1090/S0002-9939-02-06323-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that the Kauffman bracket skein algebra of a cylinder over a surface with boundary, defined over complex numbers, is isomorphic to the observables of an appropriate lattice gauge field theory.
引用
收藏
页码:2479 / 2485
页数:7
相关论文
共 7 条
[1]   Rings of SL2(C)-characters and the Kauffman bracket skein module [J].
Bullock, D .
COMMENTARII MATHEMATICI HELVETICI, 1997, 72 (04) :521-542
[2]   Topological interpretations of lattice gauge field theory [J].
Bullock, D ;
Frohman, C ;
Kania-Bartoszynska, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 198 (01) :47-81
[3]  
FROHMAN C, MATHQA0010328
[4]  
Kauffman L. H., 1994, ANN MATH STUDIES, V143
[5]  
LICKORISH WBR, 1997, GTM, V175
[6]   On skein algebras and Sl2(C)-character varieties [J].
Przytycki, JH ;
Sikora, AS .
TOPOLOGY, 2000, 39 (01) :115-148
[7]  
Wenzl H., 1987, C. R. Math. Rep. Acad. Sci. Canada, V9, P5