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The Kauffman bracket skein module of a twist knot exterior

Doug Bullock·Walter Lo Faro
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Abstract

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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Doug Bullock, Walter Lo Faro. 2005-02-18. The Kauffman bracket skein module of a twist knot exterior. https://doi.org/10.2140/agt.2005.5.107

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