Hyperbolicity of link complements in Seifert-fibered spaces

Cremaschi, Tommaso; Rodríguez-Migueles, José A

doi:10.2140/agt.2020.20.3561

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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

DOI: 10.2140/agt.2020.20.3561

Abstract

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

Keywords

low dimensional topology, geometric topology

Mathematical Subject Classification 2010

Primary: 57M50

References

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

Volume 20, issue 7 (2020)