d'Antonio, Giacomo Delucchi, Emanuele 2015 We prove that the complement of a toric arrangement has the homotopy type of a minimal CW-complex. As a corollary we deduce that the integer cohomology of these spaces is torsionfree.We apply discrete Morse theory to the toric Salvetti complex, providing a sequence of cellular collapses that leads to a minimal complex. application/pdf https://sonar.ch/global/documents/304650 https://sonar.ch/documents/304650/files/del_mta.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.4171/JEMS/508 info:eu-repo/semantics/openAccess License undefined Journal of the European Mathematical Society. - 2015, vol. 17, no. 3, p. 483–521 Toric arrangements discrete Morse theory minimal CW-complexes torsion in cohomology info:eu-repo/classification/udc/51 Minimality of toric arrangements http://purl.org/coar/resource_type/c_6501