Wall crossing for symplectic vortices and quantum cohomology

Mathematics – Symplectic Geometry

Scientific paper

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45 pages, no figures, some typos removed

Scientific paper

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.

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