Geodesic
Non-L–space integral homology 3–spheres with no nice orderings
Gao, Xinghua1
1Department of Mathematics, University of Illinois, Urbana-Champaign, Urbana, IL 61801, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2511-2522
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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.

DOI : 10.2140/agt.2017.17.2511
Classification : 57M50, 57M25, 57M27
Keywords: L–space, left orderability, homology sphere, $\mathrm{SL}_2(\mathbb{R})$ representation

Gao, Xinghua  1

1 Department of Mathematics, University of Illinois, Urbana-Champaign, Urbana, IL 61801, United States 
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Gao, Xinghua. Non-L–space integral homology 3–spheres with no nice orderings. Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2511-2522. doi: 10.2140/agt.2017.17.2511

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