Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Manin pairs and moment maps   A Lie group G in a group pair (D,G), integrating a Lie algebra g in a Manin
pair (d,g) has a quasi-Poisson structure. We define the quasi-Poisson actions
of such Lie groups G, that generalize the Poisson actions of Poisson Lie
groups. We define and study the moment maps for those quasi-Poisson actions
which are quasi-hamiltonian. These moment maps take values in the homogeneous
space D/G. We prove an analogue of the hamiltonian reduction theorem for
quasi-Poisson group actions, and we study the symplectic leaves of the orbit
spaces of quasi-hamiltonian spaces.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th