TRANSCENDENTAL SIMPLICIAL VOLUMES

Heuer, Nicolaus and Loeh, Clara (2024) TRANSCENDENTAL SIMPLICIAL VOLUMES. ANNALES DE L INSTITUT FOURIER, 74 (2). ISSN 0373-0956, 1777-5310

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: STABLE COMMUTATOR LENGTH; LINEAR-FORMS; LOGARITHMS; MANIFOLDS; HOMOLOGY; simplicial volume; stable commutator length; right-computable numbers
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Clara Löh
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Sep 2025 09:00
Last Modified: 03 Sep 2025 09:00
URI: https://pred.uni-regensburg.de/id/eprint/64176

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