26 citations · 161 across the 21 of their papers we have counts for
11 papers · 1 filter
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…
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…
Currents, Systoles, and Compactifications of Character Varieties
M. Burger, A. Iozzi, A. Parreau +1
We study the Weyl chamber length boundary both of the Hitchin and of the maximal character varieties and determine therein an open set of discontinuity for the action of the mappin…
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…
The bounded Borel class and complex representations of 3-manifold groups
Michelle Bucher, Marc Burger, Alessandra Iozzi
If is a lattice, we define an invariant of a representation using the Borel class $β(n)\in \mathrm{H}^3_\ma…