Quivers from non-orientable surfaces

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

arxiv（2022）

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摘要

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.

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