Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $\textbf{nbc}$ minimal complex of supersolvable arrangements   In this paper we give a very natural description of the bijections between
the minimal CW-complex homotopy equivalent to the complement of a supersolvable
arrangement $\mathcal{A}$, the $\textbf{nbc}$ basis of the Orlik-Solomon
algebra associated to $\mathcal{A}$ and the set of chambers of $\mathcal{A}$.
We use these bijections to get results on the first (co)homology group of the
Milnor fiber of $\mathcal{A}$ and to describe a bijection between the symmetric
group and the $\textbf{nbc}$ basis of the braid arrangement.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an