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

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arxiv math/0410540 v3 pith:EF6OONR2 submitted 2004-10-26 math.AG math-phmath.MP

classification math.AGmath-phmath.MP
keywords gopakumar-vafalocalcalabi-yauconjecturemanifoldstoricclassgenus
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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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  1. Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

    math-ph 2025-01 conditional novelty 6.0 of 10

    First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.

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