English

Pants immersed in hyperbolic 3-manifolds

Geometric Topology 2008-02-20 v1

Abstract

We show that an immersed thrice-punctured sphere in a cusped orientable hyperbolic 3-manifold is either embedded or has a single clasp in a manifold obtained by hyperbolic Dehn filling on a cusp of the Whitehead link complement.

Keywords

Cite

@article{arxiv.0802.2575,
  title  = {Pants immersed in hyperbolic 3-manifolds},
  author = {Ian Agol},
  journal= {arXiv preprint arXiv:0802.2575},
  year   = {2008}
}

Comments

12 pages, 4 figures

R2 v1 2026-06-21T10:13:40.141Z