Graph manifolds, left-orderability and amalgamation
Geometric Topology
2014-10-01 v1 Group Theory
Abstract
We show that every irreducible toroidal integer homology sphere graph manifold has a left-orderable fundamental group. This is established by way of a specialization of a result due to Bludov and Glass for the almagamated products that arise, and in this setting work of Boyer, Rolfsen and Wiest may be applied. Our result then depends on input from 3-manifold topology and Heegaard Floer homology.
Keywords
Cite
@article{arxiv.1106.0486,
title = {Graph manifolds, left-orderability and amalgamation},
author = {Adam Clay and Tye Lidman and Liam Watson},
journal= {arXiv preprint arXiv:1106.0486},
year = {2014}
}
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17 pages