dorsal/arxiv
View SchemaRepresentations of knot groups and Vassiliev invariants
| Authors | Daniel Altschuler |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9503015 |
| URL | https://arxiv.org/abs/q-alg/9503015 |
Abstract
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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"abstract": "We show that the number of homomorphisms from a knot group to a finite group\n$G$ cannot be a Vassiliev invariant, unless it is constant on the set of\n$(2,2p+1)$ torus knots. In several cases, such as when $G$ is a dihedral or\nsymmetric group, this implies that the number of homomorphisms is not a\nVassiliev invariant.",
"arxiv_id": "q-alg/9503015",
"authors": [
"Daniel Altschuler"
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"title": "Representations of knot groups and Vassiliev invariants",
"url": "https://arxiv.org/abs/q-alg/9503015"
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