Symplectic Frieze Patterns

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dc.contributor.authorMorier-Genoud, S.
dc.date.accessioned2025-12-05T09:25:48Z
dc.date.issued2019
dc.description.abstractWe introduce a new class of friezes that is related to symplectic geometry. On the algebraic and combinatorics sides, this variant of friezes is related to the cluster algebras involving the Dynkin diagrams of type C₂ and Am. On the geometric side, they are related to the moduli space of Lagrangian configurations of points in the 4-dimensional symplectic space introduced in [Conley C.H., Ovsienko V., Math. Ann. 375 (2019), 1105-1145]. Symplectic friezes share similar combinatorial properties to those of Coxeter friezes and SL-friezes.
dc.description.sponsorshipI am deeply grateful to Valentin Ovsienko for sharing with me ideas and results of the preliminary version of [6]. I am also grateful to Michael Cuntz for computer calculations and Bernhard Keller for help with the applet [18]. I also want to thank Luc Pirio for stimulating discussions on the subject. This work is supported by the ANR project SC3A, ANR-15-CE40-0004-01.
dc.identifier.citationSymplectic Frieze Patterns / S. Morier-Genoud // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 27 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.089
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 13F60; 05E10; 14N20; 53D30
dc.identifier.otherarXiv: 1803.06001
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210299
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleSymplectic Frieze Patterns
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік