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

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

2004-11-30

arxiv.org/abs/math/0411651v2

Mathematics

Symplectic Geometry

This paper has been withdrawn due to some error

Scientific paper

Let $(M, \omega)$ 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, $\pi_1(M)=\pi_1(M_{red})$, where $M_{red}$ is the
symplectic quotient at any value of the moment map $\phi$.

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