Skew-gentle algebras are skew-group of gentle equipped with a certain $\Z_2$-action. Building on the bijective correspondence between and dissected surfaces, we obtain in this paper bijection skew-gentle orbifolds that admit double cover. We prove compatibility $\Z_2$-action cover algebra construction. This allows us to investigate derived equivalence relation geometric terms: We associate ea...

This note is an extended abstract of my talk given in the conference: “Maurice Auslander Distinguished Lectures and International Conference”, April 29 May 4, 2015. It is based on [6] which is joint work with Jorge Vitória.