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.
|Full text:||Publisher-imposed embargo until 16 June 2023. |
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|Publisher Web site:||https://doi.org/10.1007/s10711-022-00706-6|
|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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