Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torus fixed point sets of Hessenberg Schubert varieties in regular
  semisimple Hessenberg varieties   It is well-known that the $T$-fixed points of a Schubert variety in the flag
variety $GL_n(\mathbb{C})/B$ can be characterized purely combinatorially in
terms of Bruhat order on the symmetric group $\mathfrak{S}_n$. In a recent
preprint, Cho, Hong, and Lee give a combinatorial description of the $T$-fixed
points of Hessenberg analogues of Schubert varieties (which we call Hessenberg
Schubert varieties) in a regular semisimple Hessenberg variety. This note gives
an interpretation of their result in terms of Bruhat order by making use of a
partition of the symmetric group defined using so-called subsets of Weyl type.
The Appendix, written by Michael Zeng, proves a lemma concerning subsets of
Weyl type which is required in our arguments.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int