18 citations · 65 across the 19 of their papers we have counts for
9 papers · 1 filter
Exponential growth rates of even Coxeter groups
Véra Bossart, Michelle Bucher
Let be an even Coxeter group. We prove that among all Coxeter systems generating the unique even Coxeter system realizes the minimal exponential growth. Our proof relies on…
Kernels in measurable cohomology for transitive actions
Michelle Bucher, Alessio Savini
Given a connected semisimple Lie group , Monod has recently proved that the measurable cohomology of the -action on the Furstenberg boundary $…
Alternating cochains on Furstenberg boundaries and measurable cohomology
Michelle Bucher, Alessio Savini
Nicolas Monod showed that the evaluation map between the measurable cohomology of the action of a connected semisimple Lie…
Some explicit cocycles on the Furstenberg boundary for products of isometries of hyperbolic spaces and
Michelle Bucher, Alessio Savini
Nicolas Monod showed that the evaluation map between the measurable cohomology of the action of a connected semisimple Lie gr…
Trivial cup products in bounded cohomology of the free group via aligned chains
Sofia Amontova, Michelle Bucher
We prove that the cup product of -decomposable quasimorphisms, Brooks quasimorphisms or Rolli quasimorphisms with any bounded cohomology class of arbitrary positive degree is tr…
The cup product of Brooks quasimorphisms
Michelle Bucher, Nicolas Monod
We 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…