Bucher, MichelleMonod, Nicolas2018-12-132018-12-132018-12-132018-09-0110.1515/forum-2017-0237https://infoscience.epfl.ch/handle/20.500.14299/151968WOS:000443231400008We prove the vanishing of the cup product of the bounded cohomology classes associated to any two Brooks quasimorphisms on the free group. This is a consequence of the vanishing of the square of a universal class for tree automorphism groups.Mathematics, AppliedMathematicsquasimorphismcup productfree groupbounded cohomologycocycle superrigidityThe cup product of Brooks quasimorphismstext::journal::journal article::research article