Displaying similar documents to “The Homflypt skein module of a connected sum of 3-manifolds.”

Skein algebra of a group

Józef Przytycki, Adam Sikora (1998)

Banach Center Publications

Similarity:

We define for each group G the skein algebra of G. We show how it is related to the Kauffman bracket skein modules. We prove that skein algebras of abelian groups are isomorphic to symmetric subalgebras of corresponding group rings. Moreover, we show that, for any abelian group G, homomorphisms from the skein algebra of G to C correspond exactly to traces of SL(2,C)-representations of G. We also solve, for abelian groups, the conjecture of Bullock on SL(2,C) character varieties of groups...

Estimating the states of the Kauffman bracket skein module

Doug Bullock (1998)

Banach Center Publications

Similarity:

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 S L 2 ( C ) characters of the fundamental group, which in turn provides estimates of the invariant.