The Fundamental Group of Symplectic Manifolds with Hamiltonian Su(2) or So(3) Actions

نویسنده

  • HUI LI
چکیده

Let (M,ω) be a connected, compact symplectic manifold equipped with a Hamiltonian SU(2) or SO(3) action. We prove that, as fundamental groups of topological spaces, π1(M) = π1(Mred), where Mred is the symplectic quotient at any value of the moment map φ.

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تاریخ انتشار 2004