$L^2$-moduli spaces of symplectic vortices on Riemann surfaces with cylindrical ends

Bohui Chen, Bai-Ling Wang

Let $(X,\omega )$ be a compact symplectic manifold with a Hamiltonian action of a compact Lie group $G$ and $\mu :X\to \mathfrak{g}$ be its moment map. In this paper, we study the $L^2$-mod…