English

Strict contractions and exotic SO_0(d,1) quotients

Geometric Topology 2017-11-22 v4

Abstract

For d < 5, we describe an elementary construction of nonzero degree, strict contractions between closed, oriented hyperbolic d-oribifolds. Appealing to work of Gueritaud-Kassel and Tholozan, these examples determine exotic quotients of SO_0(d,1).

Keywords

Cite

@article{arxiv.1606.02609,
  title  = {Strict contractions and exotic SO_0(d,1) quotients},
  author = {Grant S. Lakeland and Christopher J Leininger},
  journal= {arXiv preprint arXiv:1606.02609},
  year   = {2017}
}

Comments

v4. Updated references. v3. Correct more typos, updated references. v2. Corrected typos, expanded section 3.3, added references. 28 pages. v1. 27 pages, 6 figures