Geodesic
The Kauffman bracket skein module of a twist knot exterior
Bullock, Doug1 ; Faro, Walter Lo2
1Department of Mathematics, Boise State University, Boise ID 83725, USA
2Department of Mathematics, University of Wisconsin, Stevens Point WI 54481, USA
Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 107-118
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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.

DOI : 10.2140/agt.2005.5.107
Keywords: knot, link, skein module, Kauffman bracket

Bullock, Doug  1   ; Faro, Walter Lo  2

1 Department of Mathematics, Boise State University, Boise ID 83725, USA
2 Department of Mathematics, University of Wisconsin, Stevens Point WI 54481, USA 
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Bullock, Doug; Faro, Walter Lo. The Kauffman bracket skein module of a twist knot exterior. Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 107-118. doi: 10.2140/agt.2005.5.107

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