Surgery descriptions and volumes of Berge knots I: Large volume Berge knots

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dc.creatorBaker, Kenneth L.
dc.date2005-09-02
dc.date.accessioned2026-07-07T05:22:55Z
dc.date.available2026-07-07T05:22:55Z
dc.descriptionBy obtaining surgery descriptions of knots which lie on the genus one fiber of the trefoil or figure eight knot, we show that these include hyperbolic knots with arbitrarily large volume. These knots admit lens space surgeries and form two families of Berge knots. By way of tangle descriptions we also obtain surgery descriptions for these knots on minimally twisted chain links.
dc.description18 pages, 19 figures
dc.identifierhttps://arxiv.org/abs/math/0509054
dc.identifierhttp://arxiv.org/abs/math/0509054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76247
dc.subjectGeometric Topology
dc.subject57M50 (Primary) 57M25 (Secondary)
dc.titleSurgery descriptions and volumes of Berge knots I: Large volume Berge knots
dc.typetext

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