Taut foliations leafwise branch cover S^2
arXiv:2003.10470 · doi:10.2140/agt.2021.21.2523
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.
12 pages; version 2: minor typos corrected; added remark on branched maps compatible with contact structures