Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces

Abstract

We introduce and study the Hermitian matrix model with potential V(x)=x^2/2-stx/(1-tx), which enumerates the number of linear chord diagrams of fixed genus with specified numbers of backbones generated by s and chords generated by t. For the one-cut solution, the partition function, correlators and free energies are convergent for small t and all s as a… (More)
DOI: 10.1016/j.nuclphysb.2012.09.012

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