Topological recursion for symplectic volumes of moduli spaces of curves

Published 8 Oct 2010 in math.SG, math-ph, math.AG, and math.MP | (1010.1747v3)

Abstract: 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 = y² / 2.

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