Integrability and Reduction of Hamiltonian Actions on Dirac Manifolds
نویسندگان
چکیده
For a Hamiltonian, proper and free action of a Lie group G on a Dirac manifold (M,L), with a regular moment map μ :M → g∗, the manifolds M/G, μ−1(0) and μ−1(0)/G all have natural induced Dirac structures. If (M,L) is an integrable Dirac structure, we show thatM/G is always integrable, but μ−1(0) and μ−1(0)/G may fail to be integrable, and we describe the obstructions to their integrability.
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