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Core surfaces

Magee, Michael; Puder, Doron

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Authors

Doron Puder



Abstract

Let Γg be the fundamental group of a closed connected orientable surface of genus g≥2. We introduce a combinatorial structure of core surfaces, that represent subgroups of Γg. These structures are (usually) 2-dimensional complexes, made up of vertices, labeled oriented edges, and 4g-gons. They are compact whenever the corresponding subgroup is finitely generated. The theory of core surfaces that we initiate here is analogous to the influential and fruitful theory of Stallings core graphs for subgroups of free groups.

Citation

Magee, M., & Puder, D. (2022). Core surfaces. Geometriae Dedicata, 216(4), Article 46. https://doi.org/10.1007/s10711-022-00706-6

Journal Article Type Article
Acceptance Date May 25, 2022
Online Publication Date Jun 16, 2022
Publication Date 2022-08
Deposit Date Jul 27, 2022
Publicly Available Date Jun 16, 2023
Journal Geometriae Dedicata
Print ISSN 0046-5755
Electronic ISSN 1572-9168
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 216
Issue 4
Article Number 46
DOI https://doi.org/10.1007/s10711-022-00706-6

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Copyright Statement
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10711-022-00706-6





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