Kirby calculus in manifolds with boundary

dc.creatorRoberts, Justin
dc.date1998-12-15
dc.date.accessioned2026-07-07T05:27:14Z
dc.date.available2026-07-07T05:27:14Z
dc.descriptionSuppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeomorphic (relative to their common boundary, if there is one.) How are the links related? Kirby's theorem gives the answer when the manifold is S^3, and Fenn and Rourke extended it to the case of any closed orientable 3-manifold, or twisted S^1 cross S^2. The purpose of this note is to give the answer in the general case, using only minor modifications of Kirby's original proof.
dc.description7 pages, 5 figures using epsf
dc.identifierhttps://arxiv.org/abs/math/9812086
dc.identifierhttp://arxiv.org/abs/math/9812086
dc.identifierTurkish J. Math. 21 (1997) no. 1, 111-117 (Proceedings of 5th Gokova Geometry-Topology conference, 1996)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77847
dc.subjectGeometric Topology
dc.titleKirby calculus in manifolds with boundary
dc.typetext

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