Generic hyperbolic knot complements without hidden symmetries

Eric Chesebro; Jason DeBlois; Priyadip Mondal

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arXiv · 1910.04712

Generic hyperbolic knot complements without hidden symmetries

Eric Chesebro·Jason DeBlois·Priyadip Mondal

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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.

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Eric Chesebro, Jason DeBlois, Priyadip Mondal. 2019-10-10. Generic hyperbolic knot complements without hidden symmetries. https://arxiv.org/abs/1910.04712

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