The spectrum of simplicial volume with fixed fundamental group
Geometric Topology
2022-11-17 v2
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.
Keywords
Cite
@article{arxiv.2205.14877,
title = {The spectrum of simplicial volume with fixed fundamental group},
author = {Clara Loeh},
journal= {arXiv preprint arXiv:2205.14877},
year = {2022}
}
Comments
14 pages, no figures; v2: small changes; to appear in Geometriae Dedicata