On extension of symplectic vortex equation

The symplectic vortex equation was introduced, independently, by Salamon and
Mundet to provide a useful tool for studying pseudo-holomorphic curves in
symplectic quotients. An integration over the solution space gives an  invariant
for the symplectic quotient: symplectic vortex invariants, aka Hamiltonian
Gromov-Witten invariants.

Gaio and Salamon showed that a symplectic vortex invariant is equal to a
Gromov-Witten invariant under a certain topological hypothesis. This equality
is expected to extends to orbifolds, but it does not hold for orbifolds in the
original form, i.e. we need to modify the theory in a suitable way.

In this talk we discuss an extension of symplectic vortex equation in order
to tackle the conjecture.