On distinct finite covers of 3-manifolds

Stefan Friedl; JungHwan Park; Bram Petri; Jean Raimbault; Arunima Ray

doi:10.1512/iumj.2021.70.8357

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arXiv · 1807.09861

On distinct finite covers of 3-manifolds

Stefan Friedl·JungHwan Park·Bram Petri·Jean Raimbault·Arunima Ray

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Abstract

Every closed orientable surface S has the following property: any two connected covers of S of the same degree are homeomorphic (as spaces). In this, paper we give a complete classification of compact 3-manifolds with empty or toroidal boundary which have the above property. We also discuss related group-theoretic questions.

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Stefan Friedl, JungHwan Park, Bram Petri, Jean Raimbault, Arunima Ray. 2018-07-25. On distinct finite covers of 3-manifolds. https://doi.org/10.1512/iumj.2021.70.8357

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