Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stratification of singular hyperkahler quotients   Hyperkahler quotients by non-free actions are typically highly singular, but
are remarkably still partitioned into smooth hyperkahler manifolds. We show
that these partitions are topological stratifications, in a strong sense. We
also endow the quotients with global Poisson structures which induce the
hyperkahler structures on the strata. Finally, we give a local model which
shows that these quotients are locally isomorphic to linear complex-symplectic
reductions in the GIT sense. These results can be thought of as the hyperkahler
analogues of Sjamaar-Lerman's theorems for symplectic reduction. They are based
on a local normal form for the underlying complex-Hamiltonian manifold, which
may be of independent interest.

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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th