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arXiv · 1112.5041

Minimality of toric arrangements

Giacomo d'Antonio·Emanuele Delucchi
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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.

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Giacomo d'Antonio, Emanuele Delucchi. 2013-03-26. Minimality of toric arrangements. https://arxiv.org/abs/1112.5041

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