Properness of the bending map
Geometric Topology
2025-10-09 v1
Abstract
The bending map of a hyperbolic 3-manifold with boundary maps a geometrically hyperbolic metric to its bending measured geodesic lamination. We show that the bending map is proper. As a byproduct of the proof we show that the group of isotopy classes of homeomorphisms of M acts properly discontinuously on the set of doubly incompressible measured geodesic laminations.
Cite
@article{arxiv.2510.07087,
title = {Properness of the bending map},
author = {Cyril Lecuire},
journal= {arXiv preprint arXiv:2510.07087},
year = {2025}
}