Fibered faces, veering triangulations, and the arc complex

We study the connections between subsurface projections in curve and arc complexes in fibered 3-manifolds and Agol’s veering triangulation. The main theme is that large-distance subsurfaces in fibers are associated to large simplicial regions in the veering triangulation, and this correspondence hol...

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Bibliographic Details
Published in:Geometric and functional analysis 2017-12, Vol.27 (6), p.1450-1496
Main Authors: Minsky, Yair N., Taylor, Samuel J.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Triangulation
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Summary:We study the connections between subsurface projections in curve and arc complexes in fibered 3-manifolds and Agol’s veering triangulation. The main theme is that large-distance subsurfaces in fibers are associated to large simplicial regions in the veering triangulation, and this correspondence holds uniformly for all fibers in a given fibered face of the Thurston norm.
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-017-0430-y