Strong L-spaces and left orderability
Geometric Topology
2014-05-02 v1
Abstract
We introduce the notion of a strong L-space, a closed, oriented rational homology 3-sphere whose Heegaard Floer homology can be determined at the chain level. We prove that the fundamental group of a strong L-space is not left-orderable. Examples of strong L-spaces include the double branched covers of alternating links in S^3.
Cite
@article{arxiv.1110.0563,
title = {Strong L-spaces and left orderability},
author = {Adam Simon Levine and Sam Lewallen},
journal= {arXiv preprint arXiv:1110.0563},
year = {2014}
}
Comments
9 pages