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Wall crossing for symplectic vortices and quantum cohomology

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arxiv math/0209170 v2 pith:DWQVLSSZ 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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