Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant slices for symplectic cones   The Darboux-Weinstein decomposition is a central result in the theory of
Poisson (degenerate symplectic) varieties, which gives a local decomposition at
a point as a product of the formal neighborhood of the symplectic leaf through
the point and a formal slice.
  Recently, conical symplectic resolutions, and more generally, Poisson cones,
have been very actively studied in representation theory and algebraic
geometry. This motivates asking for a C*-equivariant version of the
Darboux-Weinstein decomposition.
  In this paper, we develop such a theory, prove basic results on their
existence and uniqueness, study examples (quotient singularities and hypertoric
varieties), and applications to noncommutative algebra (their quantization). We
also pose some natural questions on existence and quantization of C*-actions on
slices to conical symplectic leaves.

13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex