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arXiv:2409.08842 [math.RT]AbstractReferencesReviewsResources

Contravariant Koszul duality between non-positive and positive dg algebras

Riku Fushimi

Published 2024-09-13Version 1

We characterize locally finite non-positive dg algebras that arise as Koszul duals of locally finite non-positive dg algebras. Moreover, we show that the Koszul dual functor induces contravariant derived equivalnces. As a consequence, we prove that every functorially finite bounded heart of $\pvd A$ of a locally finite non-positive dg algebra is a length category.

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