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The symplectic geometry of higher Auslander algebras: Symmetric products of disks

The symplectic geometry of higher Auslander algebras: Symmetric products of disks

Abstract We show that the perfect derived categories of Iyama’s d -dimensional Auslander algebras of type ${\mathbb {A}}$ are equivalent to the partially wrapped Fukaya categories of the d -fold symmetric product of the $2$ -dimensional unit disk with finitely many stops on its boundary. Furthermore, we observe that Koszul …