Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting resolutions of symplectic quotient singularities   Let $\Gamma$ be a finite subgroup of $\mathrm{Sp}(V)$. In this article we
count the number of symplectic resolutions admitted by the quotient singularity
$V / \Gamma$. Our approach is to compare the universal Poisson deformation of
the symplectic quotient singularity with the deformation given by the
Calogero-Moser space. In this way, we give a simple formula for the number of
$\mathbb{Q}$-factorial terminalizations admitted by the symplectic quotient
singularity in terms of the dimension of a certain Orlik-Solomon algebra
naturally associated to the Calogero-Moser deformation. This dimension is
explicitly calculated for all groups $\Gamma$ for which it is known that $V /
\Gamma$ admits a symplectic resolution. As a consequence of our results, we
confirm a conjecture of Ginzburg and Kaledin.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas