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arXiv · 1010.1747

Topological recursion for symplectic volumes of moduli spaces of curves

Julia Bennett·David Cochran·Brad Safnuk·Kaitlin Woskoff
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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 = y^2 / 2.

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Julia Bennett, David Cochran, Brad Safnuk, Kaitlin Woskoff. 2010-10-08. Topological recursion for symplectic volumes of moduli spaces of curves. https://arxiv.org/abs/1010.1747

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