Crosscap numbers of pretzel knots

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dc.creatorIchihara, Kazuhiro
dc.creatorMizushima, Shigeru
dc.date2006-08-21
dc.date2007-02-27
dc.date.accessioned2026-07-07T07:48:46Z
dc.date.available2026-07-07T07:48:46Z
dc.descriptionThe crosscap number of a knot in the 3-sphere is defined as the minimal first Betti number of non-orientable subsurfaces bounded by the knot. In this paper, we determine the crosscap numbers of pretzel knots. The key ingredient to obtain the result is the algorithm of enumerating all essential surfaces for Montesinos knots developed by Hatcher and Oertel.
dc.description13 pages, 10 figures, v2: An assumption of the main theorem is clarified
dc.identifierhttps://arxiv.org/abs/math/0608480
dc.identifierhttp://arxiv.org/abs/math/0608480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124614
dc.subjectGeometric Topology
dc.subject57M25
dc.titleCrosscap numbers of pretzel knots
dc.typetext

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