New structural results for generating functions enumerating b-angulations of surfaces are obtained from Toda integrability for b=3,4 and Hodge-GUE correspondence for b=2ν, implying the Gharakhloo-Latimer conjecture.
arXiv:1712.09231
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On enumeration of $b$-angulations of surfaces from an integrability perspective
New structural results for generating functions enumerating b-angulations of surfaces are obtained from Toda integrability for b=3,4 and Hodge-GUE correspondence for b=2ν, implying the Gharakhloo-Latimer conjecture.