2 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Properadic homotopical calculus
Eric Hoffbeck, Johan Leray, Bruno Vallette
In this paper, we initiate the generalisation of the operadic calculus which governs the properties of homotopy algebras to a properadic calculus which governs the properties of ho…
Multiplicative persistent distances
Grégory Ginot, Johan Leray
We define and study several new interleaving distances for persistent cohomology which take into account the algebraic structures of the cohomology of a space, for instance the cup…
Protoperads i: Combinatorics and definitions
Johan Leray
This paper is the first of two articles which develop the notion of protoperads. In this one, we construct a new monoidal product on the category of reduced S-modules. We study the…