English

Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces

Geometric Topology 2015-05-27 v2 Group Theory

Abstract

The paper contains a new proof that a complete, non-compact hyperbolic 33-manifold MM with finite volume contains an immersed, closed, quasi-Fuchsian surface.

Keywords

Cite

@article{arxiv.1408.4691,
  title  = {Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces},
  author = {Mark D. Baker and Daryl Cooper},
  journal= {arXiv preprint arXiv:1408.4691},
  year   = {2015}
}

Comments

Final version to appear in AGT. Some typos corrected, particularly def (3.6). Rewording of 4 paragraphs in proof of (4.2) for added clarity. Final section added comparing this paper to the approach of Masters and Zhang