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 R3.
1
University of Warwick, Coventry, UK
2
Oklahoma State University, Stillwater, USA
Saul Schleimer; Henry Segerman. From loom spaces to veering triangulations. Groups, geometry, and dynamics, Tome 18 (2024) no. 2, pp. 419-462. doi: 10.4171/ggd/742
@article{10_4171_ggd_742,
author = {Saul Schleimer and Henry Segerman},
title = {From loom spaces to veering triangulations},
journal = {Groups, geometry, and dynamics},
pages = {419--462},
year = {2024},
volume = {18},
number = {2},
doi = {10.4171/ggd/742},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/742/}
}
TY - JOUR
AU - Saul Schleimer
AU - Henry Segerman
TI - From loom spaces to veering triangulations
JO - Groups, geometry, and dynamics
PY - 2024
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