4.6 Article

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

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 276, Issue 2, Pages 551-569

Publisher

SPRINGER
DOI: 10.1007/s00220-007-0348-6

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We prove Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds. It is also proven that the local Gopakumar-Vafa invariants of a given class vanish at large genera.

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