Weakly bounded and bounded cohomology classes: a finitely presented counterexample

  • Venue:

    Geb. 20.30, SR 2.058

  • Date:

    25.07.2024

  • Speaker:

    Dario Ascari

  • Time:

    15:45 Uhr

  • Abstract: The subtle distinction between the notion of bounded and weakly bounded cohomology class plays a role in several applications. However, it's not easy to construct groups where the two notions aren't equivalent. We provide the first known example of such a finitely presented group. In particular, this allows us to answer to a question of Gromov about the cohomology of closed manifolds.