Topological triviality of smoothly knotted surfaces in 4-manifolds

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dc.creatorKim, Hee Jung
dc.creatorRuberman, Daniel
dc.date2006-10-06
dc.date2008-10-21
dc.date.accessioned2026-07-07T10:11:51Z
dc.date.available2026-07-07T10:11:51Z
dc.descriptionSome generalizations and variations of the Fintushel-Stern rim surgery are known to produce smoothly knotted surfaces. We show that if the fundamental groups of their complements are cyclic, then these surfaces are topologically unknotted. Using a twist-spinning construction from high-dimensional knot theory, we construct examples of knotted surfaces whose complements have cyclic fundamental groups.
dc.descriptionFinal version; appeared in AMS Transactions. 15 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0610204
dc.identifierhttp://arxiv.org/abs/math/0610204
dc.identifierTrans. Amer. Math. Soc. 360 (2008), 5869-5881
dc.identifierdoi:10.1090/S0002-9947-08-04482-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171992
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R57
dc.titleTopological triviality of smoothly knotted surfaces in 4-manifolds
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