The fundamental group of symplectic manifolds with Hamiltonian SU(2) or SO(3) actions
Abstract
Description
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 $ϕ$.
This paper has been withdrawn due to some error
This paper has been withdrawn due to some error