The Kauffman bracket skein module of a twist knot exterior

被引：14

作者：

Bullock, Doug ^{[1
]}

Lo Faro, Walter

机构：

[1] Boise State Univ, Dept Math, Boise, ID 83725 USA

[2] Univ Wisconsin, Dept Math, Stevens Point, WI 54481 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2005年 / 5卷

关键词：

knot; link; skein module; Kauffman bracket;

D O I：

10.2140/agt.2005.5.107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the Kauffman bracket skein module of the complement of a twist knot, finding that it is free and infinite dimensional. The basis consists of cables of a two-component link, one component of which is a meridian of the knot. The cabling of the meridian can be arbitrarily large while the cabling of the other component is limited to the number of twists.

引用

页码：107 / 118

页数：12

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