Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tanisaki witness relations for harmonic differential forms   Inspired by a series of conjectures related to higher coinvariant algebras,
we present two families of relations involving harmonic differential forms of
the symmetric group. Our relations, together with a novel bijection, are
sufficient to give a filtration of the $1$-forms suggested by work of
Haglund--Rhoades--Shimozono with composition factors given by Tanisaki
quotients. These are "almost all" of the necessary relations in a certain
asymptotic sense we make precise.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio