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math.GT2025
A tree bijection for cusp-less planar hyperbolic surfaces
Bart Zonneveld
Recently, a tree bijection has been found for planar hyperbolic surfaces, which allows for an easy computation of the Weil--Petersson volumes, and opens the path to get distance st…
math.GT2025
A tree bijection for the moduli space of genus-0 hyperbolic surfaces with boundaries
Timothy Budd, Thomas Meeusen, Bart Zonneveld
The Weil-Petersson volume of genus-g hyperbolic surfaces with geodesic boundaries is known since work of Mirzakhani to be polynomial in the boundary lengths. We provide a bijective…