Fibered faces, veering triangulations, and the arc complex
Geometric Topology
2017-11-09 v2
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.
Keywords
Cite
@article{arxiv.1605.08943,
title = {Fibered faces, veering triangulations, and the arc complex},
author = {Yair N. Minsky and Samuel J. Taylor},
journal= {arXiv preprint arXiv:1605.08943},
year = {2017}
}
Comments
Referee's comments incorporated. To appear in GAFA