English

Dynamics for discrete subgroups of $\operatorname{SL}_2(\mathbb C)$

Dynamical Systems 2023-03-07 v4 Geometric Topology

Abstract

Margulis wrote in the preface of his book Discrete subgroups of semisimple Lie groups that "A number of important topics have been omitted. The most significant of these is the theory of Kleinian groups and Thurston's theory of 3-dimensional manifolds: these two theories can be united under the common title of Theory of discrete subgroups of SL2(C)\operatorname{SL}_2(\mathbb C)." In this article, we will discuss a few recent advances regarding this missing topic from his book, which were influenced by his earlier works.

Keywords

Cite

@article{arxiv.1909.02922,
  title  = {Dynamics for discrete subgroups of $\operatorname{SL}_2(\mathbb C)$},
  author = {Hee Oh},
  journal= {arXiv preprint arXiv:1909.02922},
  year   = {2023}
}

Comments

The statement of Lemma 5.1(1) corrected