Taut foliations leafwise branch cover S2

Calegari, Danny

doi:10.2140/agt.2021.21.2523

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Taut foliations leafwise branch cover $S^2$

Danny Calegari

Algebraic & Geometric Topology 21 (2021) 2523–2541

DOI: 10.2140/agt.2021.21.2523

Abstract

A cooriented 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

taut foliation, Riemann surface lamination, branched cover, leafwise holomorphic function

Mathematical Subject Classification

Primary: 57M50, 57R30

References

Publication

Received: 5 April 2020

Revised: 29 August 2020

Accepted: 22 September 2020

Published: 31 October 2021

Authors

Danny Calegari
Department of Mathematics University of Chicago Chicago, IL United States

Volume 21, issue 5 (2021)