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Non-L–space integral
homology $3$–spheres with no nice orderings
Xinghua Gao |
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Algebraic & Geometric Topology 17 (2017) 2511–2522
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Abstract |
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We give infinitely many examples of non-L–space irreducible integer homology –spheres whose fundamental groups do not have nontrivial representations. |
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Keywords
L–space, left orderability, homology sphere,
$\mathrm{SL}_2(\mathbb{R})$ representation
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Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 57M25, 57M27
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References |
Publication
Received: 5 October 2016
Revised: 7 January 2017
Accepted: 20 January 2017
Published: 3 August 2017
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Authors |
| Xinghua Gao | |
| Department of Mathematics University of Illinois, Urbana-Champaign Urbana, IL 61801 United States |
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