A geometrically bounding hyperbolic link complement

Slavich, Leone

doi:10.2140/agt.2015.15.1175

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

A geometrically bounding hyperbolic link complement

Leone Slavich

Algebraic & Geometric Topology 15 (2015) 1175–1197

DOI: 10.2140/agt.2015.15.1175

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

Volume 15, issue 2 (2015)