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Local Mirror Symmetry for One-Legged Topological Vertex

Algebraic Geometry 2009-10-30 v2 Mathematical Physics math.MP

Abstract

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 C3C^3 geometry with one DD-brane.

Keywords

Cite

@article{arxiv.0910.4320,
  title  = {Local Mirror Symmetry for One-Legged Topological Vertex},
  author = {Jian Zhou},
  journal= {arXiv preprint arXiv:0910.4320},
  year   = {2009}
}

Comments

First revised version