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New hyperbolic
$4$–manifolds of low volume
Stefano Riolo and Leone Slavich |
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Algebraic & Geometric Topology 19 (2019) 2653–2676
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Abstract |
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We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume hyperbolic –manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapiro, we build the smallest known nonarithmetic hyperbolic –manifold. |
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Keywords
hyperbolic $4$–manifold, minimal-volume hyperbolic
manifolds
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Mathematical Subject Classification 2010
Primary: 57M50, 57N16
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References |
Publication
Received: 8 August 2018
Revised: 19 October 2018
Accepted: 30 October 2018
Published: 20 October 2019
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Authors |
| Stefano Riolo | |
| Institut de mathématiques University of Neuchâtel Neuchâtel Switzerland |
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| Leone Slavich | |
| Department of Mathematics University of Pisa Pisa Italy |
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