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arXiv · 2007.02118

A differential algebra and the homotopy type of the complement of a toric arrangement

Corrado De Concini·Giovanni Gaiffi
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Abstract

We show that the rational homotopy type of the complement of a toric arrangement is completely determined by two sets of combinatorial data. This is obtained by introducing a differential graded algebra over Q whose minimal model is equivalent to the Sullivan minimal model of the arrangement.

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Corrado De Concini, Giovanni Gaiffi. 2020-07-04. A differential algebra and the homotopy type of the complement of a toric arrangement. https://arxiv.org/abs/2007.02118

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