Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The virtual intersection theory of isotropic Quot Schemes   Isotropic Quot schemes parameterize rank $r$ isotropic subsheaves of a vector
bundle equipped with symplectic or symmetric quadratic form. We define a
virtual fundamental class for isotropic Quot schemes over smooth projective
curves. Using torus localization, we prescribe a way to calculate top
intersection numbers of tautological classes, and obtain explicit formulas when
$r=2$. These include and generalize the Vafa-Intriligator formula. In this
setting, we compare the Quot scheme invariants with the invariants obtained via
the stable map compactification.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: funct-an
11
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: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci