# Laurent phenomenon algebras arising from surfaces II: Laminated surfaces

@article{Wilson2018LaurentPA, title={Laurent phenomenon algebras arising from surfaces II: Laminated surfaces}, author={Jon Wilson}, journal={Selecta Mathematica}, year={2018}, volume={26} }

It was shown by Fock and Goncharov (Dual Teichmüller and lamination spaces. Handbook of Teichmüller Theory, 2007), and Fomin et al. (Acta Math 201(1):83–146, 2008) that some cluster algebras arise from triangulated orientable surfaces. Subsequently, Dupont and Palesi (J Algebraic Combinatorics 42(2):429–472, 2015) generalised this construction to include unpunctured non-orientable surfaces, giving birth to quasi-cluster algebras. In Wilson (Int Math Res Notices 341, 2017) we linked this…

## 3 Citations

### Positivity for quasi-cluster algebras

- Mathematics
- 2019

We generalise the expansion formulae of Musiker, Schiffler and Williams, obtained for cluster algebras from orientable surfaces, to a larger class of coefficients which we call principal laminations.…

### Marked non-orientable surfaces and cluster categories via symmetric representations

- Mathematics
- 2022

. We initiate the investigation of representation theory of non-orientable surfaces. As a ﬁrst step towards ﬁnding an additive categoriﬁcation of Dupont and Palesi’s quasi-cluster algebras associated…

### Quivers from non-orientable surfaces

- Mathematics
- 2022

We associate a quiver to a quasi-triangulation of a non-orientable marked surface and define a notion of quiver mutation that is compatible with quasi-cluster algebra mutation defined by Dupont and…

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We generalise the expansion formulae of Musiker, Schiffler and Williams, obtained for cluster algebras from orientable surfaces, to a larger class of coefficients which we call principal laminations.…

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