Quantum deformations of fundamental groups of oriented 3-manifolds

Kaiser, Uwe

doi:10.1090/S0002-9947-03-03424-X

Quantum deformations of fundamental groups of oriented $3$-manifolds
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Trans. Amer. Math. Soc. 356 (2004), 3869-3880 Request permission

Abstract:

We compute two-term skein modules of framed oriented links in oriented $3$-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the $3$-manifold.

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