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2019 New hyperbolic $4$–manifolds of low volume
Stefano Riolo, Leone Slavich
Algebr. Geom. Topol. 19(5): 2653-2676 (2019). DOI: 10.2140/agt.2019.19.2653

Abstract

We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume hyperbolic 4–manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapiro, we build the smallest known nonarithmetic hyperbolic 4–manifold.

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Stefano Riolo. Leone Slavich. "New hyperbolic $4$–manifolds of low volume." Algebr. Geom. Topol. 19 (5) 2653 - 2676, 2019. https://doi.org/10.2140/agt.2019.19.2653

Information

Received: 8 August 2018; Revised: 19 October 2018; Accepted: 30 October 2018; Published: 2019
First available in Project Euclid: 26 October 2019

zbMATH: 07142615
MathSciNet: MR4023325
Digital Object Identifier: 10.2140/agt.2019.19.2653

Subjects:
Primary: 57M50, 57N16

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 5 • 2019
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