On Transverse Knots and Branched Covers

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dc.creatorHarvey, Shelly
dc.creatorKawamuro, Keiko
dc.creatorPlamenevskaya, Olga
dc.date2007-12-10
dc.date.accessioned2026-07-07T08:48:21Z
dc.date.available2026-07-07T08:48:21Z
dc.descriptionWe study contact manifolds that arise as cyclic branched covers of transverse knots in the standard contact 3-sphere. We discuss properties of these contact manifolds and describe them in terms of open books and contact surgeries. In many cases we show that such branched covers are contactomorphic for smoothly isotopic transverse knots with the same self-linking number. These pairs of knots include most of the non-transversely simple knots of Birman-Menasco and Ng-Ozsvath-Thurston.
dc.description29 pages, 25 figures
dc.identifierhttps://arxiv.org/abs/0712.1557
dc.identifierhttp://arxiv.org/abs/0712.1557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143919
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject53D10; 57M12
dc.titleOn Transverse Knots and Branched Covers
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