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  On distinct finite covers of 3-manifolds

Friedl, S., Park, J., Petri, B., Raimbault, J., & Ray, A. (2021). On distinct finite covers of 3-manifolds. Indiana University Mathematics Journal, 70(2), 809-846. doi:10.1512/iumj.2021.70.8357.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-B113-A Version Permalink: https://hdl.handle.net/21.11116/0000-000A-78CA-C
Genre: Journal Article

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Friedl-Park-Petri-Raimbault-Ray_On Distinct Finite Covers of 3-manifolds_2021.pdf (Publisher version), 426KB
 
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https://doi.org/10.1512/iumj.2021.70.8357 (Publisher version)
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 Creators:
Friedl, Stefan1, Author           
Park, JungHwan1, Author           
Petri, Bram1, Author           
Raimbault, Jean, Author
Ray, Arunima1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: DOI: 10.1512/iumj.2021.70.8357
arXiv: 1807.09861
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Title: Indiana University Mathematics Journal
Source Genre: Journal
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Publ. Info: Indiana University
Pages: - Volume / Issue: 70 (2) Sequence Number: - Start / End Page: 809 - 846 Identifier: -