Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Betti numbers of regular Hessenberg varieties are palindromic   Recently Brosnan and Chow have proven a conjecture of Shareshian and Wachs
describing a representation of the symmetric group on the cohomology of regular
semisimple Hessenberg varieties for $GL_n(\mathbb{C})$. A key component of
their argument is that the Betti numbers of regular Hessenberg varieties for
$GL_n(\mathbb{C})$ are palindromic. In this paper, we extend this result to all
reductive algebraic groups, proving that the Betti numbers of regular
Hessenberg varieties are palindromic.

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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph