Skew-group A_∞-categories are defined to represent Fukaya categories of orbifolds, with indecomposable objects classified as graded curves with taggings and tilting objects yielding derived equivalences to skew-gentle algebras.
Indecomposable objects in the derived category of a skew-gentle algebra using orbifolds
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Skew-group $A_{\infty}$-categories as Fukaya categories of orbifolds
Skew-group A_∞-categories are defined to represent Fukaya categories of orbifolds, with indecomposable objects classified as graded curves with taggings and tilting objects yielding derived equivalences to skew-gentle algebras.