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arxiv: math/0209170 · v2 · submitted 2002-09-13 · 🧮 math.SG · math.GT

Wall crossing for symplectic vortices and quantum cohomology

classification 🧮 math.SG math.GT
keywords cohomologycrossingformulaquantumsymplectictoricwallapplication
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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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