Quivers from non-orientable surfaces

Véronique Bazier-Matte, Fenghuan He, Kayla Wright, Ruiyan Huang, Hanyi Yuo

Publication date: 14 January 2022

Abstract: 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 Palesi. Moreover, we use our quiver to show the unistructurality of the quasi-cluster algebra arising from the Mobius strip.

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

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