The homotopy type of toric arrangements
Algebraic Topology
2010-10-29 v2 Geometric Topology
Representation Theory
Abstract
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex homotopy equivalent to the arrangement complement, with a combinatorial description similar to that of the well-known Salvetti complex. If the toric arrangement is defined by a Weyl group we also provide an algebraic description, very handy for cohomology computations. In the last part we give a description in terms of tableaux for a toric arrangement appearing in robotics.
Cite
@article{arxiv.1009.3622,
title = {The homotopy type of toric arrangements},
author = {Luca Moci and Simona Settepanella},
journal= {arXiv preprint arXiv:1009.3622},
year = {2010}
}
Comments
To appear on J. of Pure and Appl. Algebra. 16 pages, 3 pictures