Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume
Differential Geometry
2025-08-18 v2 High Energy Physics - Theory
Geometric Topology
Abstract
We provide conditions under which a Riemann surface is the asymptotic boundary of a convex co-compact hyperbolic manifold, homeomorphic to a handlebody, of negative renormalized volume. We prove that this is the case when there are on enough closed curves of short enough hyperbolic length.
Keywords
Cite
@article{arxiv.2405.07598,
title = {Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume},
author = {Tommaso Cremaschi and Viola Giovannini and Jean-Marc Schlenker},
journal= {arXiv preprint arXiv:2405.07598},
year = {2025}
}
Comments
final version accepted for publication at JGP