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math.CT2026
Koszul duality for algebras over infinity-operads
Eric Hoffbeck, Ieke Moerdijk
In this paper, we introduce a new notion of algebra over a linear -operad and a corresponding notion of coalgebra over an -cooperad. We next extend the Koszul duali…
math.CT2025
Addendum: localization of lax symmetric monoidal categories
Vladimir Hinich, Ieke Moerdijk
In this note, we explain in some detail how one can fiberwise localize a (co)lax symmetric monoidal infinity-category. This construction was tacitly used in Section 5 of our recent…
math.CT2024
On the equivalence of the Lurie's -operads and dendroidal -operads
Vladimir Hinich, Ieke Moerdijk
In this paper we prove the equivalence of two symmetric monoidal -categories of -operads, the one defined in Lurie's book on Higher Algebra and the one based on den…