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VOL. 72 | 2017 Cones of foliations almost without holonomy
John Cantwell, Lawrence Conlon

Editor(s) Taro Asuke, Shigenori Matsumoto, Yoshihiko Mitsumatsu

## Abstract

On sutured 3-manifolds $M$, we classify taut foliations almost without holonomy up to isotopy. We assume that the compact leaves lie in $\partial M$. The classification is given by finitely many convex, polyhedral cones in $H^{1}(M;\mathbb{R})$ which have disjoint interiors. The classes in the interiors of these cones determine the isotopy classes. This work relies heavily on the Handel–Miller classification of the isotopy classes of endperiodic surface automorphisms. While the Handel–Miller theory was not published by the originators, the authors have given a complete account elsewhere.

## Information

Published: 1 January 2017
First available in Project Euclid: 4 October 2018

zbMATH: 1388.57023
MathSciNet: MR3726717

Digital Object Identifier: 10.2969/aspm/07210301

Subjects:
Primary: 57R30

Rights: Copyright © 2017 Mathematical Society of Japan

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