Representations of knot groups and Vassiliev invariants

Details Representations of knot groups and Vassiliev invariants Representations of knot groups and Vassiliev invariants

1995-03-27

arxiv.org/abs/q-alg/9503015v1

Mathematics

Quantum Algebra

4 pages, LaTeX

Scientific paper

We show that the number of homomorphisms from a knot group to a finite group
$G$ cannot be a Vassiliev invariant, unless it is constant on the set of
$(2,2p+1)$ torus knots. In several cases, such as when $G$ is a dihedral or
symmetric group, this implies that the number of homomorphisms is not a
Vassiliev invariant.

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