| Résume | Résumé : Polynomial cohomology of groups was first introduced by Connes and Moscovici, and can be thought as a way of interpolating between bounded cohomology and usual group cohomology. Following work by Bader and Sauer, we introduce a quantitative version of polynomial cohomology and show it coincides with usual group cohomology in many situations. As an application, we show that Betti numbers of finitely generated nilpotent groups are invariant by (cobounded) L^p-measure equivalence (p depending on the groups in question). |
