#### Volume 17, issue 4 (2017)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Non-L–space integral homology $3$–spheres with no nice orderings

### Xinghua Gao

Algebraic & Geometric Topology 17 (2017) 2511–2522
##### Abstract

We give infinitely many examples of non-L–space irreducible integer homology $3$–spheres whose fundamental groups do not have nontrivial ${\stackrel{˜}{PSL}}_{2}\left(ℝ\right)$ representations.

##### Keywords
L–space, left orderability, homology sphere, $\mathrm{SL}_2(\mathbb{R})$ representation
##### Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 57M25, 57M27