Taut foliations leafwise branch cover S2

Danny Calegari

doi:10.2140/agt.2021.21.2523

Abstract

A cooriented foliation $\mathcal F$ 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.

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Danny Calegari. "Taut foliations leafwise branch cover $S^2$ ." Algebr. Geom. Topol. 21 (5) 2523 - 2541, 2021. https://doi.org/10.2140/agt.2021.21.2523

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Received: 5 April 2020; Revised: 29 August 2020; Accepted: 22 September 2020; Published: 2021

First available in Project Euclid: 29 November 2021

MathSciNet: MR4334518

zbMATH: 1483.57028

Digital Object Identifier: 10.2140/agt.2021.21.2523

Subjects:

Primary: 57M50 , 57R30

Keywords: Branched cover , leafwise holomorphic function , Riemann surface lamination , taut foliation

Abstract

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