Refined Kirby calculus for integral homology spheres

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dc.creatorHabiro, Kazuo
dc.date2005-09-02
dc.date2009-03-01
dc.date.accessioned2026-07-07T12:47:21Z
dc.date.available2026-07-07T12:47:21Z
dc.descriptionA theorem of Kirby states that two framed links in the 3-sphere produce orientation-preserving homeomorphic results of surgery if they are related by a sequence of stabilization and handle-slide moves. The purpose of the present paper is twofold: First, we give a sufficient condition for a sequence of handle-slides on framed links to be able to be replaced with a sequences of algebraically canceling pairs of handle-slides. Then, using the first result, we obtain a refinement of Kirby's calculus for integral homology spheres which involves only +/-1-framed links with zero linking numbers.
dc.descriptionThis is the version published by Geometry & Topology on 18 September 2006
dc.identifierhttps://arxiv.org/abs/math/0509039
dc.identifierhttp://arxiv.org/abs/math/0509039
dc.identifierGeom. Topol. 10 (2006) 1285-1317
dc.identifierdoi:10.2140/gt.2006.10.1285
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221690
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25, 57M27
dc.titleRefined Kirby calculus for integral homology spheres
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