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arXiv:math/0303283 [math.AT]AbstractReferencesReviewsResources

Arrangements associated to chordal graphs and limits of colored braid groups

Frederic Chapoton, Patrick Polo

Published 2003-03-24Version 1

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.

Comments: 11 pages
Categories: math.AT
Subjects: 52C35, 55R10, 20F36, 18A30, 05C38
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