#### Volume 20, issue 7 (2020)

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Hyperbolicity of link complements in Seifert-fibered spaces

### Tommaso Cremaschi and José A Rodríguez-Migueles

Algebraic & Geometric Topology 20 (2020) 3561–3588
##### Abstract

Let $\stackrel{̄}{\gamma }$ be a link in a Seifert-fibered space $M$ over a hyperbolic $2$–orbifold $\mathsc{𝒪}$ that projects injectively to a filling multicurve of closed geodesics $\gamma$ in $\mathsc{𝒪}$. We prove that the complement ${M}_{\stackrel{̄}{\gamma }}$ of $\stackrel{̄}{\gamma }$ in $M$ admits a hyperbolic structure of finite volume, and we give combinatorial bounds of its volume.

##### Keywords
low dimensional topology, geometric topology
Primary: 57M50
##### Publication
Received: 7 April 2019
Revised: 13 November 2019
Accepted: 13 December 2019
Published: 29 December 2020
##### Authors
 Tommaso Cremaschi USC Dornsife Department of Mathematics University of Southern California Los Angeles, CA United States José A Rodríguez-Migueles Department of Mathematics and Statistics University of Helsinki Helsinki Finland