On the TQFT representations of the mapping class groups

被引:33
|
作者
Funar, L [1 ]
机构
[1] Univ Grenoble 1, Inst Fourier, F-38402 St Martin Dheres, France
关键词
D O I
10.2140/pjm.1999.188.251
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the image of the mapping class group by the representations arising in the SU(2)-TQFT is infinite, provided that the genus g greater than or equal to 2 and the level of the theory r not equal = 2, 3, 4, 6 (and r not equal 10 for g = 2). In particular it follows that the quotient groups M(g)/N(t(r)) by the normalizer of the r-th power of a Dehn twist t are infinite if g greater than or equal to 3 and r not equal 2; 3; 4; 6; 8; 12.
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页码:251 / 274
页数:24
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