English

A note on degenerations of Morse actions

Geometric Topology 2017-11-20 v2 Group Theory Metric Geometry

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 ρn:ΓG\rho_n : \Gamma \rightarrow G is (strongly) unbounded in the character variety, the group must have a very particular structure.

Keywords

Cite

@article{arxiv.1612.09332,
  title  = {A note on degenerations of Morse actions},
  author = {Louis Merlin},
  journal= {arXiv preprint arXiv:1612.09332},
  year   = {2017}
}

Comments

10 pages, no figure