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A geometric realization of Koszul duality for graded gentle algebras

Published 22 Mar 2024 in math.RT, math.CT, and math.RA | (2403.15190v1)

Abstract: We show that the Koszul functor of a homologically smooth graded gentle algebra can be realized as the half rotation in a geometric model. As a byproduct, we prove an intersection-dim formula involving the Koszul functor.

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