From loom spaces to veering triangulations

  • Saul Schleimer

    University of Warwick, Coventry, UK
  • Henry Segerman

    Oklahoma State University, Stillwater, USA
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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