Freely 2-periodic knots have two canonical components
Geometric Topology
2024-03-13 v1
Abstract
We prove that the SL(2, C) character variety of a hyperbolic, freely 2-periodic knot has two canonical components. We also prove that the hyperbolic torsion polynomial of such a knot satisfies a factorization condition which seems to be particularly effective at identifying freely 2-periodic knots.
Keywords
Cite
@article{arxiv.2403.07157,
title = {Freely 2-periodic knots have two canonical components},
author = {Keegan Boyle and Nicholas Rouse},
journal= {arXiv preprint arXiv:2403.07157},
year = {2024}
}