## Algebraic & Geometric Topology

### Non-L–space integral homology $3$–spheres with no nice orderings

Xinghua Gao

#### Abstract

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

#### Article information

Source
Algebr. Geom. Topol., Volume 17, Number 4 (2017), 2511-2522.

Dates
Revised: 7 January 2017
Accepted: 20 January 2017
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841450

Digital Object Identifier
doi:10.2140/agt.2017.17.2511

Mathematical Reviews number (MathSciNet)
MR3686404

Zentralblatt MATH identifier
1373.57036

#### Citation

Gao, Xinghua. Non-L–space integral homology $3$–spheres with no nice orderings. Algebr. Geom. Topol. 17 (2017), no. 4, 2511--2522. doi:10.2140/agt.2017.17.2511. https://projecteuclid.org/euclid.agt/1510841450

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