Local Mirror Symmetry for One-Legged Topological Vertex

Details Local Mirror Symmetry for One-Legged Topological Vertex Local Mirror Symmetry for One-Legged Topological Vertex

2009-10-22

arxiv.org/abs/0910.4320v2

Mathematics

Algebraic Geometry

First revised version

Scientific paper

We prove the Bouchard-Mari\~no Conjecture for the framed one-legged
topological vertex by deriving the Eynard-Orantin type recursion relations from
the cut-and-join equation satisfied by the relevant triple Hodge integrals.
This establishes a version of local mirror symmetry for the local $C^3$
geometry with one $D$-brane.

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