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Quantum Topology

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Volume 1, Issue 4, 2010, pp. 413–421
DOI: 10.4171/QT/11

Published online: 2010-10-17

The skein module of torus knots

Julien Marché[1]

(1) École Polytechnique, Palaiseau, France

We compute the Kauffman skein module of the complements of torus knots in S3. Precisely, we show that these modules are isomorphic to the algebra of SL(2,ℂ)-characters tensored with the ring of Laurent polynomials

Keywords: Skein module, torus knots, character variety, Jones polynomial

Marché Julien: The skein module of torus knots. Quantum Topol. 1 (2010), 413-421. doi: 10.4171/QT/11