On Heegaard Floer homology and Seifert fibered surgeries

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dc.creatorOzsvath, Peter
dc.creatorSzabo, Zoltan
dc.date2003-01-03
dc.date2004-10-27
dc.date.accessioned2026-07-07T04:54:15Z
dc.date.available2026-07-07T04:54:15Z
dc.descriptionWe explore certain restrictions on knots in the three-sphere which admit non-trivial Seifert fibered surgeries. These restrictions stem from the Heegaard Floer homology for Seifert fibered spaces, and hence they have consequences for both the Alexander polynomial of such knots, and also their knot Floer homology. In particular, we show that certain polynomials are never the Alexander polynomials of knots which admit homology three-sphere Seifert fibered surgeries. The knot Floer homology restrictions, on the other hand, apply also in cases where the Alexander polynomial gives no information, such as the Kinoshita-Terasaka knots.
dc.descriptionPublished by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper7.abs.html
dc.identifierhttps://arxiv.org/abs/math/0301026
dc.identifierhttp://arxiv.org/abs/math/0301026
dc.identifierGeom. Topol. Monogr. 7 (2004) 181-203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66176
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R58, 57M25
dc.titleOn Heegaard Floer homology and Seifert fibered surgeries
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