53 citations · 189 across the 19 of their papers we have counts for
5 papers · 1 filter
On order preserving representations
Gabi Ben Simon, Marc Burger, Tobias Hartnick +2
In this article we introduce order preserving representations of fundamental groups of surfaces into Lie groups with bi-invariant orders. By relating order preserving representatio…
On weakly maximal representations of surface groups
Gabi Ben Simon, Marc Burger, Tobias Hartnick +2
We introduce and study a new class of representations of surface groups into Lie groups of Hermitian type, called {\em weakly maximal} representations. We prove that weakly maximal…
Tight homomorphisms and Hermitian symmetric spaces
Marc Burger, Alessandra Iozzi, Anna Wienhard
We introduce the notion of tight homomorphism into a locally compact group with nonvanishing bounded cohomology and study these homomorphisms in detail when the target is a Lie gro…
Surface group representations with maximal Toledo invariant
Marc Burger, Alessandra Iozzi, Anna Wienhard
We develop the theory of maximal representations of the fundamental group of a compact connected oriented surface with boundary, into a group of Hermitian type. For any such repres…
Maximal Representations of Surface Groups: Symplectic Anosov Structures
Marc Burger, Alessandra Iozzi, Francois Labourie +1
Let G be a connected semisimple Lie group such that the associated symmetric space X is Hermitian and let Gamma be the fundamental group of a compact orientable surface of genus at…