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Wall crossing for symplectic vortices and quantum cohomology
Authors:Kai Cieliebak  Dietmar Salamon
Institution:1. Ludwig–Maximilans–Universit?t München, Germany
2. ETH–Zürich, Switzerland
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. Supported by National Science Foundation Grant DMS–0072267
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