Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cohomology ring of certain compactified Jacobians   We provide an explicit presentation of the equivariant cohomology ring of the
compactified Jacobian $J_{q/p}$ of the rational curve $C_{q/p}$ with planar
equation $x^{q}=y^{p}$ for $(p,q)=1$. We also prove analogous results for the
closely related affine Springer fiber $Sp_{q/p}$ in the affine flag variety of
$SL_{p}$. We show that the perverse filtration on the cohomology of $J_{q/p}$
is multiplicative, and the associated graded ring under the perverse filtration
is a degeneration of the ring of functions on a moduli space of maps
$\mathbb{P}^{1}\to C_{q/p}$. We also propose several conjectures about
$J_{q/p}$ and more general compactified Jacobians.

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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph