DEFORMATIONS OF REDUCIBLE REPRESENTATIONS OF KNOT GROUPS INTO SL(n, C)

被引：4
作者：
Heusener, Michael [1 ,2 ]
Medjerab, Ouardia
机构：
[1] Clermont Univ, Univ Blaise Pascal, Lab Math, BP 10448, F-63000 Clermont Ferrand, France
[2] CNRS, UMR 6620, LM, F-63171 Aubiere, France
来源：
MATHEMATICA SLOVACA | 2016年 / 66卷 / 05期
关键词：
representations of knot groups; SL(n; C)-representation variety; metabelian representations; METABELIAN SL(N; COMMUTING VARIETIES; 3-MANIFOLD GROUPS; COHOMOLOGY; MANIFOLDS;
D O I：
10.1515/ms-2016-0206
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let K be a knot in S-3 and X its complement. We study deformations of non-abelian, metabelian, reducible representations of the knot group pi(1)(X) into SL(n, C) which are associated to a simple root of the Alexander polynomial. We prove that some of these metabelian reducible representations are smooth points of the SL(n, C)-representation variety and that they have irreducible deformations. (C) 2016 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1091 / 1104
页数：14
相关论文
共 32 条
1234