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Derived equivalences of gentle algebras via Fukaya categories

Derived equivalences of gentle algebras via Fukaya categories

Following the approach of Haiden–Katzarkov–Kontsevich (Publ Math Inst Hautes Études Sci 126:247–318, 2017), to any homologically smooth $$\mathbb {Z}$$-graded gentle algebra A we associate a triple $$(\Sigma _A, \Lambda _A; \eta _A)$$, where $$\Sigma _A$$ is an oriented smooth surface with non-empty boundary, $$\Lambda _A$$ is a set of stops …