Veering triangulations and Cannon-Thurston maps
Geometric Topology
2017-05-17 v1
Abstract
Any hyperbolic surface bundle over the circle gives rise to a continuous surjection from the circle to the sphere, by work of Cannon and Thurston. We prove that the order in which this surjection fills out the sphere is dictated by a natural triangulation of the surface bundle (introduced by Agol) when all singularities of the invariant foliations are at punctures of the fiber.
Cite
@article{arxiv.1506.03387,
title = {Veering triangulations and Cannon-Thurston maps},
author = {François Guéritaud},
journal= {arXiv preprint arXiv:1506.03387},
year = {2017}
}
Comments
27 pages, 21 figures