Outputs (2)

Shellability and Sphericity of Finite Quasi-arc Complexes (2017)
Journal Article
Wilson, J. (2018). Shellability and Sphericity of Finite Quasi-arc Complexes. Discrete & Computational Geometry, 59(3), 680-706. https://doi.org/10.1007/s00454-017-9929-0

Quasi-triangulations of a non-orientable surface were introduced by Dupont and Palesi (J Algebr Comb 42(2):429–472, 2015). The quasi-arc complex provides an intricate description of the combinatorics of these quasi-triangulations. This is the simplic... Read More about Shellability and Sphericity of Finite Quasi-arc Complexes.

Laurent phenomenon algebras arising from surfaces (2017)
Journal Article
Wilson, J. (2018). Laurent phenomenon algebras arising from surfaces. International Mathematics Research Notices, 2018(12), 3800-3833. https://doi.org/10.1093/imrn/rnw341

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 (... Read More about Laurent phenomenon algebras arising from surfaces.