Heegaard splittings of knot exteriors

dc.creatorMoriah, Yoav
dc.date2006-08-05
dc.date2009-03-31
dc.date.accessioned2026-07-07T12:58:16Z
dc.date.available2026-07-07T12:58:16Z
dc.descriptionThe goal of this paper is to offer a comprehensive exposition of the current knowledge about Heegaard splittings of exteriors of knots in the 3-sphere. The exposition is done with a historical perspective as to how ideas developed and by whom. Several new notions are introduced and some facts about them are proved. In particular the concept of a 1/n-primitive meridian. It is then proved that if a knot K in S^3 has a 1/n-primitive meridian; then nK = K#...#K, n-times has a Heegaard splitting of genus nt(K) + n which has a 1-primitive meridian. That is, nK is mu-primitive.
dc.descriptionThis is the version published by Geometry & Topology Monographs on 3 December 2007
dc.identifierhttps://arxiv.org/abs/math/0608137
dc.identifierhttp://arxiv.org/abs/math/0608137
dc.identifierGeom. Topol. Monogr. 12 (2007) 191-232
dc.identifierdoi:10.2140/gtm.2007.12.191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225185
dc.subjectGeometric Topology
dc.subject57M25, 57M05
dc.titleHeegaard splittings of knot exteriors
dc.typetext

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