Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Trivariate Diagonal Harmonics via generalized Tamari Posets   We consider the graded $\S_n$-modules of higher diagonally harmonic
polynomials in three sets of variables (the trivariate case), and show that
they have interesting ties with generalizations of the Tamari poset and parking
functions. In particular we get several nice formulas for the associated
Hilbert series and graded Frobenius characteristic. This also leads to entirely
new combinatorial formulas.

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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph