Arrangements associated to chordal graphs and limits of colored braid groups

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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.
11 pages

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Algebraic Topology, 52C35;55R10;20F36;18A30;05C38

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http://salesiana.dossiersoluciones.com/handle/123456789/66869

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303283
 http://arxiv.org/abs/math/0303283

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arXiv