Does the Jones polynomial detect the unknot?

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dc.creatorBigelow, Stephen J.
dc.date2000-12-12
dc.date.accessioned2026-07-07T04:39:10Z
dc.date.available2026-07-07T04:39:10Z
dc.descriptionWe address the question: Does there exist a non-trivial knot with a trivial Jones polynomial? To find such a knot, it is almost certainly sufficient to find a non-trivial braid on four strands in the kernel of the Burau representation. I will describe a computer algorithm to search for such a braid.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0012086
dc.identifierhttp://arxiv.org/abs/math/0012086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60550
dc.subjectGeometric Topology
dc.subject57M25 (Primary) 20F36 (Secondary)
dc.titleDoes the Jones polynomial detect the unknot?
dc.typetext

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