Fibered faces, veering triangulations, and the arc complex

Yair N. Minsky; Samuel J. Taylor

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arXiv · 1605.08943

Fibered faces, veering triangulations, and the arc complex

Yair N. Minsky·Samuel J. Taylor

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Abstract

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.

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Yair N. Minsky, Samuel J. Taylor. 2017-11-08. Fibered faces, veering triangulations, and the arc complex. https://arxiv.org/abs/1605.08943

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