Minimality of toric arrangements
  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. 
Giacomo d'Antonio and Emanuele Delucchi
math.CO math.AT