A Proof of the Full Marino-Vafa Conjecture

2010/01/13 by Jian Zhou, Zhou, Jian
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.AG #math.SG

paper · pdf · doi:10.48550/arxiv.1001.2092

arxiv created 2010/01/13 · openalex publication_date 2010/01/13 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a proof of the full Mariño-Vafa Conjecture that identifies certain open string invariants of the resolved conifold with the Chern-Simons knot invariant of the unknot, i.e. the quantum dimensions.

Citations

• Curve counting and instanton counting
• Open String Invariants and Mirror Curve of the Resolved Conifold

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