The Kauffman bracket skein module of a twist knot exterior

Details The Kauffman bracket skein module of a twist knot exterior The Kauffman bracket skein module of a twist knot exterior

2004-02-06

arxiv.org/abs/math/0402102v2

Algebr. Geom. Topol. 5 (2005) 107-118

Mathematics

Quantum Algebra

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-6.abs.html

Scientific paper

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.

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