On a behavior of a slice of the SL2(C)-character variety of a knot group under the connected sum

被引：1
|
作者：
Nagasato, Fumikazu [1 ]
机构：
[1] Meijo Univ, Dept Math, Nagoya, Aichi 4688502, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2010年 / 157卷 / 01期
基金：
日本学术振兴会;
关键词：
Character variety; Connected sum; Knot determinant; Knot group; Metabelian representation; BRAID INVARIANTS; REPRESENTATIONS; 3-MANIFOLDS;
D O I：
10.1016/j.topol.2009.04.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We observe a behavior of a slice (an algebraic subset) S-0(K) of the SL2(C)-character variety of a knot group under the connected sum of knots. It turns out that the number of 0-dimensional components of S-0(K) is additive under the connected sum of knots. (C) 2009 Elsevier B.V. All rights reserved.
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页码：182 / 187
页数：6
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