Estimating the states of the Kauffman bracket skein module

Volume 42 / 1998

Doug Bullock Banach Center Publications 42 (1998), 23-28 DOI: 10.4064/-42-1-23-28

Abstract

The states of the title are a set of knot types which suffice to create a generating set for the Kauffman bracket skein module of a manifold. The minimum number of states is a topological invariant, but quite difficult to compute. In this paper we show that a set of states determines a generating set for the ring of $SL_2(C)$ characters of the fundamental group, which in turn provides estimates of the invariant.

Authors

  • Doug Bullock

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