Skein modules of links in cylinders over surfaces.

Lieberum, Jens

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Displaying similar documents to “Skein modules of links in cylinders over surfaces.”

The Kauffman bracket skein module of a twist knot exterior.

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Józef Przytycki (1995)

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We describe in this talk three methods of constructing different links with the same Jones type invariant. All three can be thought as generalizations of mutation. The first combines the satellite construction with mutation. The second uses the notion of rotant, taken from the graph theory, the third, invented by Jones, transplants into knot theory the idea of the Yang-Baxter equation with the spectral parameter (idea employed by Baxter in the theory of solvable models in statistical...

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Lee Rudolph (1989)

Revista Matemática de la Universidad Complutense de Madrid

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This is a survey (including new results) of relations ?some emergent, others established? among three notions which the 1980s saw introduced into knot theory: quasipositivity of a link, the enhanced Milnor number of a fibered link, and the new link polynomials. The Seifert form fails to determine these invariants; perhaps there exists an ?enhanced Seifert form? which does.

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3-coloring and other elementary invariants of knots

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Estimating the states of the Kauffman bracket skein module

Doug Bullock (1998)

Banach Center Publications

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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.

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