2 citations · 2 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…
Endomorphism operads of functors
Gabriel C. Drummond-Cole, Joseph Hirsh, Damien Lejay
We consider the endomorphism operad of a functor, which is roughly the object of natural transformations from (monoidal) powers of that functor to itself. There are many examples f…
Representations are adjoint to endomorphisms
Gabriel C. Drummond-Cole, Joseph Hirsh, Damien Lejay
The functor that takes a ring to its category of modules has an adjoint if one remembers the forgetful functor to abelian groups: the endomorphism ring of linear natural transforma…
Model structures for coalgebras
Gabriel C. Drummond-Cole, Joseph Hirsh
Classically, there are two model category structures on coalgebras in the category of chain complexes over a field. In one, the weak equivalences are maps which induce an isomorphi…
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…