Generic hyperbolic knot complements without hidden symmetries
Geometric Topology
2019-10-11 v1
Abstract
We establish a pair of criteria for proving that most knot complements obtained as Dehn fillings of a given two-component hyperbolic link complement lack hidden symmetries. To do this, we use certain rational functions on varieties associated to the link. We apply our criteria to show that among certain infinite families of knot complements, all but finitely many members lack hidden symmetries.
Cite
@article{arxiv.1910.04712,
title = {Generic hyperbolic knot complements without hidden symmetries},
author = {Eric Chesebro and Jason DeBlois and Priyadip Mondal},
journal= {arXiv preprint arXiv:1910.04712},
year = {2019}
}