2 papers
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.AT2025
Simplicial properadic homotopy
Eric Hoffbeck, Johan Leray, Bruno Vallette
In this paper, we settle the homotopy properties of the infinity-morphisms of homotopy (bial)-gebras over properads, i.e. algebraic structures made up of operations with several in…