Arrangements associated to chordal graphs and limits of colored braid groups

Details Arrangements associated to chordal graphs and limits of colored braid groups Arrangements associated to chordal graphs and limits of colored braid groups

2003-03-24

arxiv.org/abs/math/0303283v1

Mathematics

Algebraic Topology

11 pages

Scientific paper

Let 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.

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