Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov

Published 8 Jul 2022 in math.GR | (2207.03972v2)

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.

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