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 C [ t ± 1 ] \mathbb {C}[t^{\pm 1}] and when reducing t = − 1 t=-1 , it is isomorphic to the ring of regular functions on the character variety of the link group.

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