paper

Wall crossing for symplectic vortices and quantum cohomology

arXiv:math/0209170

Abstract

We derive a wall crossing formula for the symplectic vortex invariants of toric manifolds. As an application, we give a proof of Batyrev's formula for the quantum cohomology of a monotone toric manifold with minimal Chern number at least two.

45 pages, no figures, some typos removed