Amenable covers and integral foliated simplicial volume
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.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2022 |
| Sprache | Englisch |
| Identifikator | ISSN: 1076-9803 KITopen-ID: 1000152698 |
| Erschienen in | New York Journal of Mathematics |
| Verlag | New York Journal of Mathematics (NYJM) |
| Band | 28 |
| Seiten | 1112-1236 |
| Vorab online veröffentlicht am | 05.08.2022 |
| Schlagwörter | 55N10, 55N35, 28D15, integral foliated simplicial volume, amenable covers, Rokhlin lemma, homology growth |
| Nachgewiesen in | Scopus |
| Relationen in KITopen |