Topological recursion for symplectic volumes of moduli spaces of curves

Details Topological recursion for symplectic volumes of moduli spaces of curves Topological recursion for symplectic volumes of moduli spaces of curves

2010-10-08

arxiv.org/abs/1010.1747v3

Mathematics

Symplectic Geometry

v2 - Clarified procedure used to calculate volumes using symplectic reduction (section 2.4). v3 - minor edits

Scientific paper

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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