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The spectrum of simplicial volume with fixed fundamental group
Löh, Clara
(2022)
The spectrum of simplicial volume with fixed fundamental group.
Geometriae Dedicata 217 (2).
Date of publication of this fulltext: 10 Jan 2023 06:50
Article
DOI to cite this document: 10.5283/epub.53494
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.
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| Item type | Article | ||||
| Journal or Publication Title | Geometriae Dedicata | ||||
| Publisher: | SPRINGER | ||||
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| Place of Publication: | DORDRECHT | ||||
| Volume: | 217 | ||||
| Number of Issue or Book Chapter: | 2 | ||||
| Date | 20 December 2022 | ||||
| Institutions | Mathematics > Prof. Dr. Clara Löh | ||||
| Identification Number |
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| Classification |
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| Keywords | BOUNDED COHOMOLOGY; MINIMAL ENTROPY; Simplicial volume; Bounded cohomology; Rationality in (co)homology | ||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-534946 | ||||
| Item ID | 53494 |
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