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Wall crossing for symplectic vortices and quantum cohomology

Cieliebak, Kai ; Salamon, Dietmar

In: Mathematische Annalen, 2006, vol. 335, no. 1, p. 133-192

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    Title
    • Wall crossing for symplectic vortices and quantum cohomology
    Author
    • Cieliebak, Kai. Ludwig-Maximilans-Universität München, Germany
    • Salamon, Dietmar. ETH-Zürich, Switzerland
    Document Type
    • Postprint
    Classification
    • Mathematics
    OAI-PMH Identifier
    • oai:doc.rero.ch:322469
    Summary
    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