English

Quasi-Isometric Rigidity of Cusp-Decomposable Manifolds

Geometric Topology 2017-06-12 v2

Abstract

In this paper we explore coarse properties of cusp-decomposable manifolds first defined by Nguy\^{e}n Phan. We describe the large scale geometry of the universal cover of a cusp-decomposable manifold and of quasi-isometries between two such universal covers. This description will provide us the tools to prove quasi-isometric rigidity for fundamental groups of cusp-decomposable manifolds.

Keywords

Cite

@article{arxiv.1704.06638,
  title  = {Quasi-Isometric Rigidity of Cusp-Decomposable Manifolds},
  author = {Kirill Kuzmin},
  journal= {arXiv preprint arXiv:1704.06638},
  year   = {2017}
}

Comments

33 pages Changes from v1: Typos and layout correction