Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal functors on symmetric quotient stacks of Abelian varieties   We consider certain universal functors on symmetric quotient stacks of
Abelian varieties. In dimension two, we discover a family of
$\mathbb{P}$-functors which induce new derived autoequivalences of Hilbert
schemes of points on Abelian surfaces; a set of braid relations on a
holomorphic symplectic sixfold; and a pair of spherical functors on the Hilbert
square of an Abelian surface, whose twists are related to the well-known Horja
twist. In dimension one, our universal functors are fully faithful, giving rise
to a semiorthogonal decomposition for the symmetric quotient stack of an
elliptic curve (which we compare to the one discovered by Polishchuk--Van den
Bergh), and they lift to spherical functors on the canonical cover, inducing
twists which descend to give new derived autoequivalences here as well.

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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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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: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin