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A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds

arXiv:math/0410540

Abstract

We prove Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds. It's also proved that the local Gopakumar-Vafa invariants of a given class at large genus vanish.

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