3 papers
math.QA2025
Pre-Calabi--Yau algebras and homotopy double Poisson gebras
Johan Leray, Bruno Vallette
We prove that the notion of a curved pre-Calabi--Yau algebra is equivalent to the notion of a curved homotopy double Poisson gebra, thereby settling the equivalence between the two…
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…
math.KT2025
Crossed modules and cohomology of algebras over an operad
Johan Leray, Salim Rivière, Friedrich Wagemann
We introduce a general definition of a -crossed module of -algebras over an algebraic operad , which coincides with historical definitions in the cases of the operads As a…