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It was shown by Fomin  et al . [ 4 ] that some cluster algebras arise from orientable surfaces. Subsequently, Dupont and Palesi [ 2 ] extended this construction to non-orientable surfaces. We link this framework to Lam and Pylyavskyy’s Laurent phenomenon (LP) algebras [ 12 ], showing that both orientable and non-orientable unpunctured marked surfaces have an associated LP-algebra.

Laurent Phenomenon Algebras Arising from Surfaces