The spectrum of simplicial volume with fixed fundamental group

URN to cite this document:: urn:nbn:de:bvb:355-epub-534946
DOI to cite this document:: 10.5283/epub.53494

Löh, Clara

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Date of publication of this fulltext: 10 Jan 2023 06:50

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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.

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