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Core surfaces

Magee, Michael and Puder, Doron (2022) 'Core surfaces.', Geometriae Dedicata, 216 (4). p. 46.


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.

Item Type:Article
Full text:Publisher-imposed embargo until 16 June 2023.
(AM) Accepted Manuscript
File format - PDF
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Publisher 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:
Date accepted:25 May 2022
Date deposited:27 July 2022
Date of first online publication:16 June 2022
Date first made open access:16 June 2023

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