Quantum deformations of fundamental groups of oriented 3-manifolds

Uwe Kaiser

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Quantum deformations of fundamental groups of oriented 3-manifolds

Uwe Kaiser

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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 from circles to the 3-manifold.

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Uwe Kaiser. 2002-02-27. Quantum deformations of fundamental groups of oriented 3-manifolds. https://arxiv.org/abs/math/0202293

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