Quantum deformations of fundamental groups of oriented 3-manifolds

Details Quantum deformations of fundamental groups of oriented 3-manifolds Quantum deformations of fundamental groups of oriented 3-manifolds

2002-02-27

arxiv.org/abs/math/0202293v2

Mathematics

Geometric Topology

14 pages,1 figure

Scientific paper

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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