A recursion for the volume of the moduli space of hyperbolic spheres
Algebraic Geometry
2026-05-20 v1 Geometric Topology
Symplectic Geometry
Abstract
We prove the existence of a non-linear recursive relation for the volume of the moduli space of hyperbolic spheres with conical points or geodesic boundaries. This relation generalizes a result by Zograf, where the same was derived for cusps.
Keywords
Cite
@article{arxiv.2605.19788,
title = {A recursion for the volume of the moduli space of hyperbolic spheres},
author = {Michele Ancona and Damien Gayet},
journal= {arXiv preprint arXiv:2605.19788},
year = {2026}
}