17 citations · 39 across the 6 of their papers we have counts for
5 papers · 1 filter
De Rham -Cohomology For Higher Rank Spaces And Groups: Critical Exponents And Rigidity
Marc Bourdon, Bertrand Rémy
We initiate the investigation of critical exponents (in degree equal to the rank) for the vanishing of L^p-cohomology of higher rank Lie groups and related manifolds. We deal with…
Non-vanishing for group -cohomology of solvable and semisimple Lie groups
Marc Bourdon, Bertrand Rémy
We obtain non-vanishing of group -cohomology of Lie groups for large and when the degree is equal to the rank of the group. This applies both to semisimple and to some sui…
Quasi-isometric invariance of continuous group -cohomology, and first applications to vanishings
Marc Bourdon, Bertrand Remy
We show that the continuous -cohomology of locally compact second countable groups is a quasi-isometric invariant. As an application, we prove partial results supporting a pos…
Some applications of l_p-cohomology to boundaries of Gromov hyperbolic spaces
Marc Bourdon, Bruce Kleiner
We study quasi-isometry invariants of Gromov hyperbolic spaces, focussing on the l_p-cohomology and closely related invariants such as the conformal dimension, combinatorial modulu…
Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups
Marc Bourdon, Bruce Kleiner
We study combinatorial modulus on boundaries of hyperbolic Coxeter groups. We give new examples of hyperbolic groups whose boundary satisfies a combinatorial version of the Loewner…