3 problems

Let $\mu:M\to\mathfrak{g}$ be proper, let $0$ be a regular value of $\mu$, assume that $\mu^{-1}(0)$ is nonempty, and suppose that $\mathrm{G}$ acts freely on $\mu^{-1}(0)$. For…

Let $(M,\omega)$ be a compact symplectic manifold with a Hamiltonian action of a compact connected Lie group ${\rm G}$ and moment map $\mu:M\to\mathfrak g^*$. Assume hypothesis…

Let $(M,\omega)$ be a symplectic manifold with a Hamiltonian action of a compact connected Lie group $G$, moment map $\mu:M\to\mathfrak g^*$, and smooth symplectic quotient … Assum…