no. 2
Transcendental simplicial volumes
[Volumes simpliciaux transcendantaux]
Heuer, Nicolaus1 ; Löh, Clara2
1 DPMMS, University of Cambridge Cambridge, UK
2 Fakultät für Mathematik, Universität Regensburg Regensburg, Germany
Annales de l'Institut Fourier, Tome 74 (2024) no. 2, pp. 763-781.

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.

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Révisé le :
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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
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Heuer, Nicolaus; Löh, Clara. Transcendental simplicial volumes. Annales de l'Institut Fourier, Tome 74 (2024) no. 2, pp. 763-781. doi : 10.5802/aif.3597. https://aif.centre-mersenne.org/articles/10.5802/aif.3597/

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