On closed 3-braids with unknotting number one

Simple item page
dc.creatorGreene, Joshua
dc.date2009-02-10
dc.date.accessioned2026-07-07T12:39:48Z
dc.date.available2026-07-07T12:39:48Z
dc.descriptionWe prove that if an alternating 3-braid knot has unknotting number one, then there must exist an unknotting crossing in any alternating diagram of it, and we enumerate such knots. The argument combines the obstruction to unknotting number one developed by Ozsváth and Szabó using Heegaard Floer homology, together with one coming from Donaldson's Theorem A.
dc.description29 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0902.1573
dc.identifierhttp://arxiv.org/abs/0902.1573
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219246
dc.subjectGeometric Topology
dc.titleOn closed 3-braids with unknotting number one
dc.typetext

Files

Collections

arXiv