4 papers
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…
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…
A tree bijection for rigid quadrangulations
Bart Zonneveld
We study the counting problem of rigid quadrangulations, recently introduced by Budd and proven to be in bijection with colorful quadrangulations. The generating function for the l…
Topological recursion of the Weil-Petersson volumes of hyperbolic surfaces with tight boundaries
Timothy Budd, Bart Zonneveld
The Weil-Petersson volumes of moduli spaces of hyperbolic surfaces with geodesic boundaries are known to be given by polynomials in the boundary lengths. These polynomials satisfy…