Non-standard components of the character variety for a family of Montesinos knots

被引：3
|
作者：
Paoluzzi, Luisa [1 ]
Porti, Joan [2 ]
机构：
[1] Aix Marseille Univ, LATP, CNRS, UMR 7353,CMI, F-13453 Marseille 13, France
[2] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain
来源：
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2013年 / 107卷
关键词：
CULLER-SHALEN SEMINORMS; PARABOLIC REPRESENTATIONS; SURFACES; 3-MANIFOLDS;
D O I：
10.1112/plms/pds094
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that for any integers n > 3 and 1 <= d <= n-3, there exist Montesinos knots with n tangles whose SL2(C)-character varieties have arbitrarily many irreducible components of dimension d. Moreover, these irreducible components can be chosen so that the trace of the meridian is non-constant.
引用
收藏
页码：655 / 679
页数：25
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