Transcendental simplicial volumes
[Volumes simpliciaux transcendantaux]
Annales de l'Institut Fourier, Online first, 19 p.

Nous montrons qu’il existe des variétés fermées avec des volumes simpliciaux transcendants arbitrairement petits. De plus, nous présentons une famille explicite de nombres réels (transcendants) qui ne peuvent pas être obtenus comme le volume simplicial d’une variété fermée.

We show that there exist closed manifolds with arbitrarily small transcendental simplicial volumes. Moreover, we exhibit an explicit family of (transcendental) real numbers that are not realised as the simplicial volume of a closed manifold.

Reçu le :
Révisé le :
Accepté le :
Première publication :
DOI : 10.5802/aif.3597
Classification : 57N65, 57M07, 20J05, 11J86, 03D78
Keywords: simplicial volume, stable commutator length, right-computable numbers
Mot clés : volume simplicial, longueur stable des commutateurs, nombres réels calculables
Heuer, Nicolaus 1 ; Löh, Clara 2

1 DPMMS, University of Cambridge Cambridge, UK
2 Fakultät für Mathematik, Universität Regensburg Regensburg, Germany
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Heuer, Nicolaus; Löh, Clara. Transcendental simplicial volumes. Annales de l'Institut Fourier, Online first, 19 p.

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