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arxiv: 1112.5041 · v3 · pith:TNZIN73Knew · submitted 2011-12-21 · 🧮 math.CO · math.AT

Minimality of toric arrangements

classification 🧮 math.CO math.AT
keywords complexminimaltoricarrangementarrangementscellularcohomologycollapses
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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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