L-spaces, taut foliations, and graph manifolds
Geometric Topology
2020-02-19 v3
Abstract
If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and Clay, this implies that is an L-space if and only if is not left-orderable.
Keywords
Cite
@article{arxiv.1508.05911,
title = {L-spaces, taut foliations, and graph manifolds},
author = {Jonathan Hanselman and Jacob Rasmussen and Sarah Dean Rasmussen and Liam Watson},
journal= {arXiv preprint arXiv:1508.05911},
year = {2020}
}
Comments
10 pages, 1 figure; version 3 is accepted version, to appear in Compositio Mathematica