On Distinct Finite Covers of 3-manifolds

Friedl, Stefan and Park, Junghwan and Petri, Bram and Raimbault, Jean and Ray, Arunima (2021) On Distinct Finite Covers of 3-manifolds. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 70 (2). pp. 809-846. ISSN 0022-2518, 1943-5258

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Abstract

Every closed orientable surface S has the following property: any two connected finite 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.

Item Type: Article
Uncontrolled Keywords: SUBGROUP GROWTH; SURFACES; LATTICES
Subjects: 500 Science > 500 Natural sciences & mathematics
Divisions: Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 Aug 2022 06:45
Last Modified: 26 Aug 2022 06:45
URI: https://pred.uni-regensburg.de/id/eprint/47066

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