The next simplest hyperbolic knots

dc.creatorChampanerkar, Abhijit
dc.creatorKofman, Ilya
dc.creatorPatterson, Eric
dc.date2003-11-21
dc.date2006-05-24
dc.date.accessioned2026-07-07T06:35:48Z
dc.date.available2026-07-07T06:35:48Z
dc.descriptionWe complete the project begun by Callahan, Dean and Weeks to identify all knots whose complements are in the SnapPea census of hyperbolic manifolds with seven or fewer tetrahedra. Many of these ``simple'' hyperbolic knots have high crossing number. We also compute their Jones polynomials.
dc.description26 pages, published in Journal of Knot Theory and its Ramifications. Published version had the last term missing from some Dowker codes in Table 4, which have been corrected. Also, correction made in Table 1 for K7_80. (Thanks to David Boyd and Marc Culler for corrections.)
dc.identifierhttps://arxiv.org/abs/math/0311380
dc.identifierhttp://arxiv.org/abs/math/0311380
dc.identifierJ. Knot Theory Ramifications 13 (2004) 965--987
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99907
dc.subjectGeometric Topology
dc.subject57M25
dc.titleThe next simplest hyperbolic knots
dc.typetext

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