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

共 50 条

[31] On the Kauffman bracket skein algebra of parallelized surfaces
Sallenave, P
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2000, 33 (05): : 593 - 610
[32] Unicity for representations of the Kauffman bracket skein algebra
Charles Frohman
Joanna Kania-Bartoszynska
Thang Lê
Inventiones mathematicae, 2019, 215 : 609 - 650
[33] Sliced skein algebras and geometric Kauffman bracket
Frohman, Charles D.
Kania-Bartoszynska, Joanna
Le, Thang T. Q.
ADVANCES IN MATHEMATICS, 2025, 463
[34] DEHN TWISTS ON KAUFFMAN BRACKET SKEIN ALGEBRAS
Tsuji, Shunsuke
KODAI MATHEMATICAL JOURNAL, 2018, 41 (01) : 16 - 41
[35] THE KAUFFMAN BRACKET SKEIN MODULE OF SURGERY ON A (2, 2b) TORUS LINK
Harris, John M.
PACIFIC JOURNAL OF MATHEMATICS, 2010, 245 (01) : 119 - 140
[36] A finite set of generators for the Kauffman bracket skein algebra
Doug Bullock
Mathematische Zeitschrift, 1999, 231 : 91 - 101
[37] Representations of the Kauffman bracket skein algebra of the punctured torus
Cho, Jea-Pil
Gelca, Razvan
FUNDAMENTA MATHEMATICAE, 2014, 225 : 45 - 55
[38] A finite set of generators for the Kauffman bracket skein algebra
Bullock, D
MATHEMATISCHE ZEITSCHRIFT, 1999, 231 (01) : 91 - 101
[39] The structure of the Kauffman bracket skein algebra at roots of unity
Frohman, Charles
Kania-Bartoszynska, Joanna
MATHEMATISCHE ZEITSCHRIFT, 2018, 289 (3-4) : 889 - 920
[40] The structure of the Kauffman bracket skein algebra at roots of unity
Charles Frohman
Joanna Kania-Bartoszynska
Mathematische Zeitschrift, 2018, 289 : 889 - 920

← 1 2 3 4 5 →