27 citations · 116 across the 31 of their papers we have counts for
4 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…
Bounded cohomology, Higgs bundles, and Milnor-Wood inequalities
Tobias Hartnick, Andreas Ott
We explain how the generalized Milnor-Wood inequality for reductive representations of a cocompact complex-hyperbolic lattice into a Hermitian Lie group translates, under the non-a…
Cross ratios, translation lengths and maximal representations
Tobias Hartnick, Tobias Strubel
We define a family of four-point invariants for Shilov boundaries of bounded symmetric domains of tube type, which generalizes the classical four-point cross ratio on the unit circ…