Weakly Bounded Cohomology Classes and a Counterexample to a Conjecture of Gromov
Weakly Bounded Cohomology Classes and a Counterexample to a Conjecture of Gromov
Abstract We exhibit a group of type F whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of closed manifolds.