Arrangements associated to chordal graphs and limits of colored braid groups

dc.creatorChapoton, Frederic
dc.creatorPolo, Patrick
dc.date2003-03-24
dc.date.accessioned2026-07-07T04:56:17Z
dc.date.available2026-07-07T04:56:17Z
dc.descriptionLet G be a chordal graph, X(G) the complement of the associated complex arrangement and Gamma(G) the fundamental group of X(G). We show that Gamma(G) is a limit of colored braid groups over the poset of simplices of G. When G = G_T is the comparability graph associated with a rooted tree T, a case recently investigated by the first author, the result takes the following very simple form: Gamma(G_T) is a limit over T of colored braid groups.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0303283
dc.identifierhttp://arxiv.org/abs/math/0303283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66869
dc.subjectAlgebraic Topology
dc.subject52C35;55R10;20F36;18A30;05C38
dc.titleArrangements associated to chordal graphs and limits of colored braid groups
dc.typetext

Files

Collections