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Zoe Graystone
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Quivers with Superpotential of a d-Angulation of a Marked Surface
A geometric model for generalized higher cluster categories: to each d-angulation of an unpunctured marked surface it assigns a quiver with superpotential, and shows that flipping a d-angulation corresponds, up to quasi-isomorphism, to Oppermann's mutation of the associated Ginzburg dg-algebra — generalizing Labardini-Fragoso's surface/potential correspondence and yielding that certain almost complete (d-2)-cluster tilting objects in the higher cluster category have exactly d-1 complements.