Rulings of Legendrian knots as spanning surfaces

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dc.creatorKálmán, Tamás
dc.date2007-11-22
dc.date.accessioned2026-07-07T08:44:33Z
dc.date.available2026-07-07T08:44:33Z
dc.descriptionEach ruling of a Legendrian link can be naturally treated as a surface. For knots, the ruling is 2-graded if and only if the surface is orientable. For 2-graded rulings of homogeneous (in particular, alternating) knots, we prove that the genus of this surface is at most the genus of the knot. While this is not true in general, we do prove that the canonical genus (a.k.a. diagram genus) of any knot is an upper bound for the genera of its 2-graded rulings.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0711.3572
dc.identifierhttp://arxiv.org/abs/0711.3572
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142694
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M25
dc.titleRulings of Legendrian knots as spanning surfaces
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