Minimality of toric arrangements

Abstract

We prove that the complement of a toric arrangement has the homotopy type of a minimal CW complex. As a corollary we obtain that the integer cohomology of these spaces is torsion free. We use Discrete Morse Theory, providing a sequence of cellular collapses that leads to a minimal complex.

arXiv commentExposition improved, details added, typos corrected; 46 pages, 5 figures. To appear in Journal of the European Mathematical Society