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The fundamental group of symplectic manifolds with Hamiltonian SU(2) or SO(3) actions

Hui Li
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Abstract

Let $(M, ω)$ be a connected compact symplectic manifold equipped with a Hamiltonian SU(2) or SO(3) action. We prove that, as fundamental group of topological spaces, $π_1(M)=π_1(M_{red})$, where $M_{red}$ is the symplectic quotient at any value of the moment map $ϕ$.

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Hui Li. 2005-07-13. The fundamental group of symplectic manifolds with Hamiltonian SU(2) or SO(3) actions. https://arxiv.org/abs/math/0411651

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