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Toric Degenerations, Tropical Curve, and Gromov-Witten Invariants of Fano Manifolds

  • Takeo Nishinou,
    Department of Mathematics , Tohoku University , Sendai, Miyagi , Japan
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Abstract

In this paper, we give a tropical method for computing Gromov-Witten type invariants of Fano manifolds of special type. This method applies to those Fano manifolds which admit toric degenerations to toric Fano varieties with singularities allowing small resolutions. Examples include (generalized) flag manifolds of type A, and some moduli space of rank two bundles on a genus two curve.
Keywords: Fano varieties, Gromov-Witten invariants, tropical curves Fano varieties, Gromov-Witten invariants, tropical curves
MSC Classifications: 14J45 show english descriptions Fano varieties 14J45 - Fano varieties
 

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