Taut foliations leafwise branch cover S^2
Geometric Topology
2021-11-10 v2 Dynamical Systems
Abstract
A co-oriented foliation F of an oriented 3-manifold M is taut if and only if there is a map from M to the 2-sphere whose restriction to every leaf is a branched cover.
Keywords
Cite
@article{arxiv.2003.10470,
title = {Taut foliations leafwise branch cover S^2},
author = {Danny Calegari},
journal= {arXiv preprint arXiv:2003.10470},
year = {2021}
}
Comments
12 pages; version 2: minor typos corrected; added remark on branched maps compatible with contact structures