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arxiv: 0809.4070 · v1 · submitted 2008-09-24 · 🧮 math.DG · math-ph· math.MP

Hamiltonian spaces for Manin pairs over manifolds

classification 🧮 math.DG math-phmath.MP
keywords hamiltonianspacesgeneralmanifoldsmaninpairsbialgebroiddescribe
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We introduce the notion of Hamiltonian spaces for Manin pairs over manifolds, using the so-called generalized Dirac structures. As an example, we describe Hamiltonian spaces of a quasi-Lie bialgebroid using this general framework. We also discuss reduction of Hamiltonian spaces of this general type.

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