2 papers
math.GT2018
Borel and volume classes for dense representations of discrete groups
James Farre
We show that the bounded Borel class of any dense representation $ρ: G\to \PSL_n\bC$ is non-zero in degree three bounded cohomology and has maximal semi-norm, for any discrete grou…
math.GT2018
Relations in Bounded Cohomology
James Farre
We explain some interesting relations in the degree three bounded cohomology of surface groups. Specifically, we show that if two faithful Kleinian surface group representations ar…