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

Xinghua Gao

doi:10.2140/agt.2017.17.2511

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Home > Journals > Algebr. Geom. Topol. > Volume 17 > Issue 4 > Article

2017 Non-L–space integral homology $3$–spheres with no nice orderings

Xinghua Gao

Algebr. Geom. Topol. 17(4): 2511-2522 (2017). DOI: 10.2140/agt.2017.17.2511

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Abstract

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

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

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Received: 5 October 2016; Revised: 7 January 2017; Accepted: 20 January 2017; Published: 2017

First available in Project Euclid: 16 November 2017

zbMATH: 1373.57036

MathSciNet: MR3686404

Digital Object Identifier: 10.2140/agt.2017.17.2511

Subjects:

Primary: 57M50

Secondary: 57M25 , 57M27

Keywords: $\mathrm{SL}_2(\mathbb{R})$ representation , homology sphere , left orderability , L–space

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Xinghua Gao "Non-L–space integral homology $3$–spheres with no nice orderings," Algebraic & Geometric Topology, Algebr. Geom. Topol. 17(4), 2511-2522, (2017)

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