Geodesic
Stable loops and almost transverse surfaces
Michael P. Landry1
1Washington University in St. Louis, USA
Groups, geometry, and dynamics, Tome 17 (2023) no. 1, pp. 35-75

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DOI

We use veering triangulations to study homology classes on the boundary of the cone over a fibered face of a compact fibered hyperbolic three-manifold. This allows us to give a handson proof of an extension of Mosher’s transverse surface theorem to the setting of manifolds with boundary. We also show that the cone over a fibered face is dual to the cone generated by the homology classes of a canonical finite collection of curves called minimal stable loops living in the associated veering triangulation.
DOI : 10.4171/ggd/655
Classification : 57-XX
Mots-clés : veering triangulation, Thurston norm, fibered face, pseudo-Anosov flow

Michael P. Landry  1

1 Washington University in St. Louis, USA 
Michael P. Landry. Stable loops and almost transverse surfaces. Groups, geometry, and dynamics, Tome 17 (2023) no. 1, pp. 35-75. doi: 10.4171/ggd/655
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/655/}
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