Core surfaces

Magee, Michael; Puder, Doron

doi:10.1007/s10711-022-00706-6

Core surfaces

Magee, Michael; Puder, Doron

Authors

Professor Michael Magee michael.r.magee@durham.ac.uk
Professor

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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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