English

Finite step Rigidity of Hitchin representations and special Margulis-Smilga spacetimes

Geometric Topology 2021-07-06 v1

Abstract

In this article we use the "escape from subvarieties lemma" introduced by Eskin--Mozes--Oh to prove finite step rigidity results for the Jordan-Lyapunov projection spectra of Hitchin representations and the Margulis-Smilga invariant spectra of some special Margulis-Smilga spacetimes. In the process, we also prove a similar finite step rigidity result for the Cartan spectra of representations of a finitely generated group inside a connected semisimple real algebraic Lie group with trivial center.

Keywords

Cite

@article{arxiv.2107.01626,
  title  = {Finite step Rigidity of Hitchin representations and special Margulis-Smilga spacetimes},
  author = {Sourav Ghosh},
  journal= {arXiv preprint arXiv:2107.01626},
  year   = {2021}
}

Comments

26 pages, no figures