Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov
Group Theory
2024-07-08 v2
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.
Keywords
Cite
@article{arxiv.2207.03972,
title = {Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov},
author = {Dario Ascari and Francesco Milizia},
journal= {arXiv preprint arXiv:2207.03972},
year = {2024}
}
Comments
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