Links of rational singularities, L-spaces and LO fundamental groups
Geometric Topology
2015-10-27 v1 Algebraic Geometry
Abstract
We prove that the link of a complex normal surface singularity is an L--space if and only if the singularity is rational. This via a recent result of Hanselman, J. Rasmussen, S. D. Rasmussen and Watson (proving the conjecture of Boyer, Gordon and Watson), shows that a singularity link is not rational if and only if its fundamental group is left-orderable if and only if it admits a coorientable taut foliation.
Keywords
Cite
@article{arxiv.1510.07128,
title = {Links of rational singularities, L-spaces and LO fundamental groups},
author = {András Némethi},
journal= {arXiv preprint arXiv:1510.07128},
year = {2015}
}