Path A_∞algebras of positively graded quivers

Abstract

Let A be a path A_∞-algebra over a positively graded quiver Q. We prove that the derived category of A is triangulated equivalent to the derived category of kQ, which is viewed as a DG algebra with trivial differential. The main technique used in the proof is Koszul duality for DG algebras.

Keywords

A_∞-algebras / Koszul dual / DG-algebras

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