Braid Groups are Linear

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dc.creatorBigelow, Stephen J.
dc.date2000-05-04
dc.date.accessioned2026-07-07T04:34:59Z
dc.date.available2026-07-07T04:34:59Z
dc.descriptionThe braid groups B_n can be defined as the mapping class group of the n-punctured disc. The Lawrence-Krammer representation of the braid group B_n is the induced action on a certain twisted second homology of the space of unordered pairs of points in the n-punctured disc. Recently, Daan Krammer showed that this is a faithful representation in the case n=4. In this paper, we show that it is faithful for all n.
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0005038
dc.identifierhttp://arxiv.org/abs/math/0005038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59119
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F36 (Primary) 57M07, 20C15 (Secondary)
dc.titleBraid Groups are Linear
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