A note on degenerations of Morse actions (1612.09332v2)

Published 29 Dec 2016 in math.GT, math.GR, and math.MG

Abstract: We study Morse representations of discrete subgroups in higher rank semi-simple Lie groups defined by M. Kapovich, B. Leeb and J. Porti. We show that, if a sequence of Morse representations $\rho_n : \Gamma \rightarrow G$ is (strongly) unbounded in the character variety, the group must have a very particular structure.