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The Kauffman bracket skein module of two-bridge links

Published 1 Nov 2011 in math.GT and math.QA | (1111.0332v2)

Abstract: We calculate the Kauffman bracket skein module (KBSM) of the complement of all two-bridge links. For a two-bridge link, we show that the KBSM of its complement is free over the ring $\BC[t{\pm 1}]$ and when reducing $t=-1$, it is isomorphic to the ring of regular functions on the character variety of the link group.

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