English

A geometrically bounding hyperbolic link complement

Geometric Topology 2015-05-27 v3

Abstract

A finite-volume hyperbolic 3-manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4-manifold. We construct here an example of non-compact, finite-volume hyperbolic 3-manifold that geometrically bounds. The 3-manifold is the complement of a link with eight components, and its volume is roughly equal to 29.311.

Keywords

Cite

@article{arxiv.1402.2208,
  title  = {A geometrically bounding hyperbolic link complement},
  author = {Leone Slavich},
  journal= {arXiv preprint arXiv:1402.2208},
  year   = {2015}
}

Comments

23 pages, 19 figures

R2 v1 2026-06-22T03:04:56.912Z