Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted isotropic realisations of twisted Poisson structures   Motivated by the recent connection between nonholonomic integrable systems
and twisted Poisson manifolds made in \cite{balseiro_garcia_naranjo}, this
paper investigates the global theory of integrable Hamiltonian systems on
almost symplectic manifolds as an initial step to understand Hamiltonian
integrability on twisted Poisson (and Dirac) manifolds. Non-commutative
integrable Hamiltonian systems on almost symplectic manifolds were first
defined in \cite{fasso_sansonetto}, which proved existence of local generalised
action-angle coordinates in the spirit of the Liouville-Arnol'd theorem. In
analogy with their symplectic counterpart, these systems can be described
globally by twisted isotropic realisations of twisted Poisson manifolds, a
special case of symplectic realisations of twisted Dirac structures considered
in \cite{bursztyn_crainic_weinstein_zhu}. This paper classifies twisted
isotropic realisations up to smooth isomorphism and provides a cohomological
obstruction to the construction of these objects, generalising the main results
of \cite{daz_delz}.

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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con