3 problems

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 $G$ be a compact Lie group acting in a Hamiltonian fashion on a symplectic manifold $M$, with moment map $[?]$. Suppose the symplectic vortex theory is extended suitably to com…

Let $(M,\omega)$ be a symplectic manifold with a Hamiltonian action of a compact connected Lie group $G$, Lie algebra $\mathfrak g$, and equivariant moment map…