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Loop equations and topological recursion for the arbitrary-$β$ two-matrix model
Loop equations topological recursion two-matrix model
2011/7/25
Abstract: We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small parameter. We find that to leading ord...
Topological recursion for the Poincare polynomial of the combinatorial moduli space of curves
Topological recursion Poincare polynomial combinatorial moduli space of curves
2010/12/3
We show that the Poincare polynomial associated with the orbifold cell decomposition of the moduli space of smooth algebraic curves with distinct marked points satis es a topological
recursion formu...
The Kontsevich constants for the volume of the moduli of curves and topological recursion
Kontsevich constants volume of the moduli of curves topological recursion
2010/12/3
We give an Eynard-Orantin type topological recursion formula for the canonical Euclidean
volume of the combinatorial moduli space of pointed smooth algebraic curves. The recursion
comes from the edg...