A presentation for Hilden's subgroup of the braid group

dc.creatorTawn, Stephen
dc.date2007-06-29
dc.date2007-10-08
dc.date.accessioned2026-07-07T12:46:52Z
dc.date.available2026-07-07T12:46:52Z
dc.descriptionConsider the unit ball, B = D x [0,1], containing n unknotted arcs a_1, ... a_n such that the boundary of each a_i lies in D x {0}. We give a finite presentation for the mapping class group of B fixing the arcs {a_1, ..., a_n} setwise and fixing D x {1} pointwise. This presentation is calculated using the action of this group on a simply-connected complex.
dc.descriptionminor changes, 17 pages
dc.identifierhttps://arxiv.org/abs/0706.4421
dc.identifierhttp://arxiv.org/abs/0706.4421
dc.identifierMath. Res. Lett., 15(6), 2008, 1277-1293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221526
dc.subjectGroup Theory
dc.titleA presentation for Hilden's subgroup of the braid group
dc.typetext

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