From loom spaces to veering triangulations
Geometric Topology
2023-02-27 v3 Dynamical Systems
Abstract
We introduce loom spaces, a generalisation of both the leaf spaces associated to pseudo-Anosov flows and the link spaces associated to veering triangulations. Following work of Gu\'eritaud, we prove that there is a locally veering triangulation canonically associated to every loom space, and that the realisation of this triangulation is homeomorphic to .
Keywords
Cite
@article{arxiv.2108.10264,
title = {From loom spaces to veering triangulations},
author = {Saul Schleimer and Henry Segerman},
journal= {arXiv preprint arXiv:2108.10264},
year = {2023}
}
Comments
46 pages, 38 figures and subfigures. v3 - simplified definition of loom space, further improvements to exposition