Published Paper
Inserted: 4 jan 2022
Last Updated: 9 jan 2023
Journal: New York J. Math.
Volume: 28
Pages: 1112-1136
Year: 2022
Abstract:
In analogy with ordinary simplicial volume, we show that integral foliated simplicial volume of oriented closed connected aspherical $n$-manifolds that admit an open amenable cover of multiplicity at most $n$ is zero. This implies that the fundamental groups of such manifolds have fixed price and are cheap as well as reproves some statements about homology growth.