Groups acting on veering pairs and Kleinian groups
Geometric Topology
2022-12-15 v3 Dynamical Systems
General Topology
Abstract
We show that some laminar group which has an invariant veering pair of laminations is a hyperbolic 3-orbifold group. On the way, we show that from a veering pair of laminations, one can construct a loom space (in the sense of Schleimer-Segerman) as a quotient. Our approach does not assume the existence of any 3-manifold to begin with so this is a geometrization-type result, and supersedes some of the results regarding the relation among veering triangulations, pseudo-Anosov flows, taut foliations in the literature.
Cite
@article{arxiv.2206.10874,
title = {Groups acting on veering pairs and Kleinian groups},
author = {Hyungryul Baik and Hongtaek Jung and KyeongRo Kim},
journal= {arXiv preprint arXiv:2206.10874},
year = {2022}
}
Comments
60 pages, 3 figures