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Mixed Dimer Configuration Model in Type Cluster Algebras II: Beyond the Acyclic Case
Libby Farrell, Gregg Musiker, Kayla Wright
This is a sequel to the second and third author's Mixed Dimer Configuration Model in Type Cluster Algebras where we extend our model to work for quivers that contain oriented c…
Marked non-orientable surfaces and cluster categories via symmetric representations
Véronique Bazier-Matte, Aaron Chan, Kayla Wright
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…
Quivers from non-orientable surfaces
Véronique Bazier-Matte, Fenghuan He, Ruiyan Huang +2
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 defi…