Local Mirror Symmetry for the Topological Vertex

2009/11/12 by Jian Zhou, Zhou, Jian · 3 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Physics (math-ph) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.0911.2343

openalex publication_date 2009/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For three-partition triple Hodge integrals related to the topological vertex, we derive Eynard-Orantin type recursion relations from the cut-and-join equation. This establishes a version of local mirror symmetry for the local C³ geometry with three D-branes, as proposed by Marino and Bouchard-Klemm-Marino-Pasquetti.

Citations

• Local Mirror Symmetry for One-Legged Topological Vertex
• D-Branes And Mirror Symmetry
• Invariants of algebraic curves and topological expansion

Cited by

• All genus open mirror symmetry for the projective line
• Geometrical interpretation of the topological recursion, and integrable string theories
• Open String Invariants and Mirror Curve of the Resolved Conifold

Related

• Local Mirror Symmetry for One-Legged Topological Vertex
• Mirror Symmetry and Integral Variations of Hodge Structure Underlying One Parameter Families of Calabi-Yau Threefolds
• Geometric Aspects of Mirror Symmetry
• Mirror Symmetry Constructions: A Review
• Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds