A Salvetti complex for Toric Arrangements and its fundamental group
Combinatorics
2011-02-22 v2 Algebraic Topology
Abstract
We describe a combinatorial model for the complement of a complexified toric arrangement by using nerves of acyclic categories. This generalizes recent work of Moci and Settepanella on thick toric arrangements. Moreover, we compute its fundamental group by finding a (finite) presentation.
Keywords
Cite
@article{arxiv.1101.4111,
title = {A Salvetti complex for Toric Arrangements and its fundamental group},
author = {Giacomo d'Antonio and Emanuele Delucchi},
journal= {arXiv preprint arXiv:1101.4111},
year = {2011}
}
Comments
31 pages, 2/3 figures added, Section 4 updated to address a flaw pointed out by Prof. Salvetti, whom we thank