Hyperbolicity of links complements in Seifert fibered spaces

Tommaso Cremaschi; José Andrés Rodríguez Migueles

doi:10.2140/agt.2020.20.3561

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arXiv · 1812.00567

Hyperbolicity of links complements in Seifert fibered spaces

Tommaso Cremaschi·José Andrés Rodríguez Migueles

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Abstract

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

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Tommaso Cremaschi, José Andrés Rodríguez Migueles. 2018-12-03. Hyperbolicity of links complements in Seifert fibered spaces. https://doi.org/10.2140/agt.2020.20.3561

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