Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
Oleg Karpenkov
Khrystyna Serhiyenko
Professor Pavel Tumarkin pavel.tumarkin@durham.ac.uk
Professor
We explore a three-dimensional counterpart of the Farey tessellation and its relations to Penner’s lambda lengths and SL₂-tilings. In particular, we prove a three-dimensional version of the Ptolemy relation, and generalise results of Short to classify tame SL₂-tilings over Eisenstein integers in terms of pairs of paths in the 3D Farey graph.
Felikson, A., Karpenkov, O., Serhiyenko, K., & Tumarkin, P. (2025). 3D Farey Graph, Lambda Lengths and SL₂-Tilings. Geometriae Dedicata, 219, Article 33. https://doi.org/10.1007/s10711-025-00997-5
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 25, 2025 |
Online Publication Date | Mar 12, 2025 |
Publication Date | 2025 |
Deposit Date | Feb 25, 2025 |
Publicly Available Date | Mar 14, 2025 |
Journal | Geometriae Dedicata |
Print ISSN | 0046-5755 |
Electronic ISSN | 1572-9168 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 219 |
Article Number | 33 |
DOI | https://doi.org/10.1007/s10711-025-00997-5 |
Public URL | https://durham-repository.worktribe.com/output/3545964 |
Published Journal Article
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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/
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