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

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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
##### Publication
Received: 20 June 2014
Revised: 30 September 2014
Accepted: 7 October 2014
Published: 22 April 2015
##### Authors
 Leone Slavich Dipartimento di Matematica (MAT) Università di Bologna Piazza di Porta San Donato 5 40126 Bologna (BO) Italy