17 citations · 23 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
Convex Foliated Projective Structures and the Hitchin Component for PSL(4,R)
Olivier Guichard, Anna Wienhard
In this article we give a geometric interpretation of the Hitchin component for PSL(4,R) in the representation variety of a closed oriented surface of higher genus. We show that re…
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…
The action of the mapping class group on maximal representations
Anna Wienhard
We show that the mapping class group acts properly on the space of maximal representations of the fundamental group of a closed Riemann surface into G when G = Sp(2n,R), SU(n,n), S…
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…
Bounded Cohomology and Geometry
Anna Wienhard
This work deals with relations between a bounded cohomological invariant and the geometry of Hermitian symmetric spaces of noncompact type. The invariant, obtained from the Kähler…