Volume 15, issue 2 (2015)

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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
Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 57M25
References
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