Add to ORKGNicolas Monod showed that the evaluation map $H^*_m(G\curvearrowright G/P)\longrightarrow H^*_m(G)$ between the measurable cohomology of the action of a connected semisimple Lie group $G$ on its Furstenberg boundary $G/P$ and the measurable cohomology of $G$ is surjective with a kernel that can be entirely described in terms of invariants in the cohomology of the maximal split torus $A<G$. In a recent paper the authors refine Monod's result and show in particular that the cohomology of non-alternating cocycles on $G/P$, namely those lying in the kernel of the alternation map, is in general not trivial and lies in the kernel of the evaluation. In this paper we describe explicitly such non-alternating and alternating cocycles on $G/P$ in low ...
AbstractWhen G=S1 or S2, the periodic equivariant cohomology measures the failure of the Poincaré du...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...
Consider a compact group $G$ acting on a real or complex Banach Lie group $U$, by automorphisms in t...
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. Thes...
We revisit Gersten's $\ell^\infty$-cohomology of groups and spaces, removing the finiteness assumpti...
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. Thes...
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. Thes...
Let G be a group admitting a non-elementary acylindrical action on a Gromov hyperbolic space (for ex...
Let G be a connected semisimple complex algebraic group and let P be a parabolic subgroup. In this p...
Let G be a connected semisimple complex algebraic group and let P be a parabolic subgroup. In this p...
Let G be a group admitting a non-elementary acylindrical action on a Gromov hyperbolic space (for ex...
Following the philosophy behind the theory of maximal representations, we introduce the volume of a ...
Following the philosophy behind the theory of maximal representations, we introduce the volume of a ...
The theory of numerical invariants for representations can be generalized to measurable cocycles. Th...
AbstractWhen G=S1 or S2, the periodic equivariant cohomology measures the failure of the Poincaré du...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...
Consider a compact group $G$ acting on a real or complex Banach Lie group $U$, by automorphisms in t...
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. Thes...
We revisit Gersten's $\ell^\infty$-cohomology of groups and spaces, removing the finiteness assumpti...
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. Thes...
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. Thes...
Let G be a group admitting a non-elementary acylindrical action on a Gromov hyperbolic space (for ex...
Let G be a connected semisimple complex algebraic group and let P be a parabolic subgroup. In this p...
Let G be a connected semisimple complex algebraic group and let P be a parabolic subgroup. In this p...
Let G be a group admitting a non-elementary acylindrical action on a Gromov hyperbolic space (for ex...
Following the philosophy behind the theory of maximal representations, we introduce the volume of a ...
Following the philosophy behind the theory of maximal representations, we introduce the volume of a ...
The theory of numerical invariants for representations can be generalized to measurable cocycles. Th...
AbstractWhen G=S1 or S2, the periodic equivariant cohomology measures the failure of the Poincaré du...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ ...