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math-ph2020
Irreducible metric maps and Weil-Petersson volumes
Timothy Budd
We consider maps on a surface of genus with all vertices of degree at least three and positive real lengths assigned to the edges. In particular, we study the family of such me…
math.CO2020
On polynomials counting essentially irreducible maps
Timothy Budd
We consider maps on genus- surfaces with (labeled) faces of prescribed even degrees. It is known since work of Norbury that, if one disallows vertices of degree one, the enu…