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arXiv · 2207.03972

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

Dario Ascari·Francesco Milizia
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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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Dario Ascari, Francesco Milizia. 2022-07-08. Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov. https://doi.org/10.1007/s00039-024-00676-9

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