Pseudo-Anosov flows, hyperbolic geometry, and the curve graph
Geometric Topology
2026-02-13 v1
Abstract
Starting with a pseudo-Anosov flow on a closed hyperbolic -manifold and an embedded surface that is (almost) transverse to , we relate the hyperbolic geometry of (e.g. volume, circumference, short geodesics) to dynamical invariants of encoded by the curve graph of .
Cite
@article{arxiv.2602.11595,
title = {Pseudo-Anosov flows, hyperbolic geometry, and the curve graph},
author = {Junzhi Huang and Samuel J. Taylor},
journal= {arXiv preprint arXiv:2602.11595},
year = {2026}
}