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

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
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.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt

We have not been able to recognize your IP address 18.204.2.231 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

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