3 citations · 6 across the 4 of their papers we have counts for
5 papers
Corrigendum for the article ''Curved Koszul duality theory''
Joseph Hirsh, Joan Millès
In this corrigendum, we explain and correct a mistake in our article ''Curved Koszul duality theory''. Our definitions of morphisms between semi-augmented properads and between cur…
Complex manifolds as families of homotopy algebras
Joan Millès
We prove an equivalence of categories from formal complex structures with formal holomorphic maps to homotopy algebras over a simple operad with its associated homotopy morphisms.…
Curved Koszul duality theory
Joseph Hirsh, Joan Millès
We extend the bar-cobar adjunction to operads and properads, not necessarily augmented. Due to the default of augmentation, the objects of the dual category are endowed with a curv…
The Koszul complex is the cotangent complex
Joan Milles
We extend the Koszul duality theory of associative algebras to algebras over an operad. Recall that in the classical case, this Koszul duality theory relies on an important chain c…
André-Quillen cohomology of algebras over an operad
Joan Millès
We study the André-Quillen cohomology with coefficients of an algebra over an operad. Using resolutions of algebras coming from Koszul duality theory, we make this cohomology theor…