#### Volume 15, issue 2 (2015)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
A geometrically bounding hyperbolic link complement

### Leone Slavich

Algebraic & Geometric Topology 15 (2015) 1175–1197
##### 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 a noncompact, 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
hyperbolic manifolds, geometrically bounding, link complement
Primary: 57M50
Secondary: 57M25