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arxiv: 1010.1747 · v3 · pith:GRA5EJZFnew · submitted 2010-10-08 · 🧮 math.SG · math-ph· math.AG· math.MP

Topological recursion for symplectic volumes of moduli spaces of curves

Julia Bennett , David Cochran , Brad Safnuk , Kaitlin Woskoff This is my paper
classification 🧮 math.SG math-phmath.AGmath.MP
keywords symplecticrecursionspacesvolumesactionsairyallowcomplexes
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We construct locally defined symplectic torus actions on ribbon graph complexes. Symplectic reduction techniques allow for a recursive formula for the symplectic volumes of these spaces. Taking the Laplace transform results in the Eynard-Orantin recursion formulas for the Airy curve x = y^2 / 2.

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  1. Grothendieck's Dessins d'Enfants in a Web of Dualities. II

    math-ph 2019-06 unverdicted novelty 3.0

    Spectral curve for Eynard-Orantin recursions on dessins d'enfants is related to Narayana numbers.