Quivers associated with non-orientable surfaces

Abstract: In 2015, F Dupont and G Palesi defined quasi-cluster algebras from triangulations of non-orientable surfaces. We now associate quivers to these triangulations and define a mutation rule to encode flips of arcs in non-orientable surfaces. We will show some properties of these quivers and their mutation rule; in particular, we will demonstrate that they generalize the classical definitions of quiver and mutation.

Joint work with Linda He, Ruiyang Huang, Hanyi Luo and Kayla Wright.

combinatoricscategory theoryrepresentation theory

Audience: researchers in the topic

The TRAC Seminar - Théorie de Représentations et ses Applications et Connections