The Kauffman bracket skein module of two-bridge links

2011/11/01 by Le, Thang T. Q., Tran, Anh T. · 1 citation
#57N10 (Primary) 57M25 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1111.0332

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^{± 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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