Hyperbolic (1,2)-knots in S^3 with crosscap number two and tunnel number one

dc.creatorValdez-Sanchez, Luis G.
dc.creatorRamirez-Losada, Enrique
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:13:21Z
dc.date.available2026-07-07T12:13:21Z
dc.descriptionA knot in S^3 is said to have crosscap number two if it bounds a once-punctured Klein bottle but not a Moebius band. In this paper we give a method of constructing crosscap number two hyperbolic (1,2)-knots with tunnel number one which are neither 2-bridge nor (1,1)-knots. An explicit infinite family of such knots is discussed in detail.
dc.description31 pages, 11 figures. To appear in Topology and its Applications (2008)
dc.identifierhttps://arxiv.org/abs/0812.3086
dc.identifierhttp://arxiv.org/abs/0812.3086
dc.identifierdoi:10.1016/j.topol.2008.12.031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210819
dc.subjectGeometric Topology
dc.subject57M25 (Primary), 57N10 (Secondary)
dc.titleHyperbolic (1,2)-knots in S^3 with crosscap number two and tunnel number one
dc.typetext

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