Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov
arXiv:2207.03972 · doi:10.1007/s00039-024-00676-9
Abstract
We exhibit a finitely presented group 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.
21 pages, 9 figures. This version of the article has been accepted for publication, after peer review, in GAFA, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections