From loom spaces to veering triangulations
Saul Schleimer
University of Warwick, Coventry, UKHenry Segerman
Oklahoma State University, Stillwater, USA
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 Guéritaud, 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 .
Cite this article
Saul Schleimer, Henry Segerman, From loom spaces to veering triangulations. Groups Geom. Dyn. 18 (2024), no. 2, pp. 419–462
DOI 10.4171/GGD/742