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.
Riolo S., Slavich L. (2019). New hyperbolic 4-manifolds of low volume. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 19(5), 2653-2676 [10.2140/agt.2019.19.2653].
New hyperbolic 4-manifolds of low volume
Riolo S.;Slavich L.
2019
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.File in questo prodotto:
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