Local Mirror Symmetry for the Topological Vertex

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 $C^3$ geometry with three D-branes, as proposed by Marino and Bouchard-Klemm-Marino-Pasquetti.

References in corpus (4)

• Open string amplitudes and large order behavior in topological string theory
• Local Mirror Symmetry for One-Legged Topological Vertex
• Invariants of algebraic curves and topological expansion
• Bouchard-Klemm-Marino-Pasquetti Conjecture for ${\mathbb{C}}^3$