10 citations · 10 across the 2 of their papers we have counts for
6 papers
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…
A Family of Quasimorphism Constructions
Gabi Ben Simon
In this work we present a principle which says that quasimorphisms can be obtained via "local data" of the group action on certain appropriate spaces. In a rough manner the princip…
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 weakly maximal representations. They are defined in terms of invar…
Invariant Orders on Hermitian Lie Groups
Gabi Ben Simon, Tobias Hartnick
We study three natural bi-invariant partial orders on a certain covering group of the automorphism group of a bounded symmetric domain of tube type; these orderings are defined usi…
Reconstructing quasimorphisms from associated partial orders and a question of Polterovich
Gabi Ben Simon, Tobias Hartnick
We show that every continuous homogeneous quasimorphism on a finite-dimensional 1-connected simple Lie group arises as the relative growth of any continuous bi-invariant partial or…