Open AccessThe skein module of torus knots
Author(s) -
Julien Marché
Publication year - 2010
Publication title -
quantum topology
Language(s) - English
Resource type - Journals
eISSN - 1663-487X
pISSN - 1664-073X
DOI - 10.4171/qt/11
Subject(s) - skein , mathematics , torus , pure mathematics , skein relation , knot theory , algebra over a field , topology (electrical circuits) , combinatorics , geometry , knot (papermaking) , engineering , chemical engineering
We compute the Kauffman skein module of the complements of torus knots in S. Precisely, we show that these modules are isomorphic to the algebra of SL.2;C/-characters tensored with the ring of Laurent polynomials. Mathematics Subject Classification (2010). 57M27, 57M50, 57M56, 37E30.
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