23 citations · 88 across the 14 of their papers we have counts for
9 papers · 1 filter
On projective Anosov subgroups of symplectic groups
Maria Beatrice Pozzetti, Konstantinos Tsouvalas
We prove that a word hyperbolic group whose Gromov boundary properly contains a -sphere cannot admit a projective Anosov representation into , $m\i…
Weyl chamber length compactification of the maximal character variety
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We study the vectorial length compactification of the space of conjugacy classes of maximal representations of the fundamental group of a closed hyperbolic surface in ${\rm…
Positive crossratios, barycenters, trees and applications to maximal representations
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We study metric properties of maximal framed representations of fundamental groups of surfaces in symplectic groups over real closed fields, interpreted as actions on Bruhat-Tits b…
Geometric limits of cyclic subgroups of SO_0(1, k+1) and SU(1, k+1)
Sara Maloni, Maria Beatrice Pozzetti
We study geometric limits of convex-cocompact cyclic subgroups of the rank 1 groups SO_0(1, k+1) and SU(1, k+1). We construct examples of sequences of subgroups of such groups G th…
The real spectrum compactification of character varieties: characterizations and applications
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We announce results on a compactification of general character varieties that has good topological properties and give various interpretations of its ideal points. We relate this t…
A structure theorem for geodesic currents and length spectrum compactifications
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We find a canonical decomposition of a geodesic current on a surface of finite type arising from a topological decomposition of the surface along special geodesics. We show that ea…
Basmajian-type inequalities for maximal representations
Federica Fanoni, Maria Beatrice Pozzetti
For suitable metrics on the locally symmetric space associated to a maximal representation, we prove inequalities between the length of the boundary and the lengths of orthogeodesi…
Isometric Embeddings in Bounded Cohomology
Michelle Bucher, Marc Burger, Roberto Frigerio +3
This paper is devoted to the construction of norm-preserving maps between bounded cohomology groups. For a graph of groups with amenable edge groups we construct an isometric embed…
Isometric properties of relative bounded cohomology
Michelle Bucher, Marc Burger, Roberto Frigerio +3
We show that the isomorphism induced by the inclusion of pairs between the relative bounded cohomology of and the bounded cohomology of is…