English

Degenerations of representations and thin triangles

Geometric Topology 2020-03-20 v1 Group Theory

Abstract

There is a compactification of the space of representations of a finitely generated group into the groups of isometries of all spaces with Δ\Delta-thin triangles. The ideal points are actions on R\mathbb R-trees. It is a geometric reformulation and extension of the Culler-Morgan-Shalen theory concerning limits of representations into SL(2,C)\operatorname{SL}(2,{\mathbb C}) and more generally O(n,1)\operatorname{O}(n, 1). This paper was written and circulated in the early 90's, but never published.

Keywords

Cite

@article{arxiv.2003.08894,
  title  = {Degenerations of representations and thin triangles},
  author = {Daryl Cooper},
  journal= {arXiv preprint arXiv:2003.08894},
  year   = {2020}
}
R2 v1 2026-06-23T14:20:28.285Z