The spectrum of simplicial volume with fixed fundamental group

Löh, Clara (2023) The spectrum of simplicial volume with fixed fundamental group. GEOMETRIAE DEDICATA, 217 (2): 16. ISSN 0046-5755, 1572-9168

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Abstract

We study the spectrum of simplicial volume for closed manifolds with fixed fundamental group and relate the gap problem to rationality questions in bounded (co)homology. In particular, we show that in many cases this spectrum has a gap at zero. For such groups, this leads to corresponding gap results for the minimal volume entropy semi-norm and for the minimal volume entropy in dimension 4.

Item Type: Article
Uncontrolled Keywords: BOUNDED COHOMOLOGY; MINIMAL ENTROPY; Simplicial volume; Bounded cohomology; Rationality in (co)homology
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Clara Löh
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Feb 2024 07:24
Last Modified: 22 Feb 2024 07:24
URI: https://pred.uni-regensburg.de/id/eprint/59007

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