Minimality of toric arrangements

d'Antonio, Giacomo, and Delucchi, Emanuele. "Minimality of toric arrangements." Journal of the European Mathematical Society 017.3 (2015): 483-521. <http://eudml.org/doc/277199>.

@article{dAntonio2015,
abstract = {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.},
author = {d'Antonio, Giacomo, Delucchi, Emanuele},
journal = {Journal of the European Mathematical Society},
keywords = {toric arrangements; discrete Morse theory; minimal CW-complexes; torsion in cohomology; toric arrangements; discrete Morse theory; minimal CW-complexes; torsion in cohomology},
language = {eng},
number = {3},
pages = {483-521},
publisher = {European Mathematical Society Publishing House},
title = {Minimality of toric arrangements},
url = {http://eudml.org/doc/277199},
volume = {017},
year = {2015},
}

TY - JOUR
AU - d'Antonio, Giacomo
AU - Delucchi, Emanuele
TI - Minimality of toric arrangements
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 3
SP - 483
EP - 521
AB - 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.
LA - eng
KW - toric arrangements; discrete Morse theory; minimal CW-complexes; torsion in cohomology; toric arrangements; discrete Morse theory; minimal CW-complexes; torsion in cohomology
UR - http://eudml.org/doc/277199
ER -