1 citations · 1 across the 2 of their papers we have counts for
5 papers
Constructible hypersheaves via exit paths
Damien Lejay
The goal of this article is to extend a theorem of Lurie \[ \mathsf{Sh}_A (X) = \mathsf{Fun}(\mathsf{Exit}_A (X), \mathsf{S}) \] representing constructible sheaves with values in $…
Base change along lax squares
Brice Le Grignou, Damien Lejay
In this note we present a recipe which transforms any pull-push along a span of categories into a push-pull along a cospan and vice versa, based on a theorem from Guitart.
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…
Operads without coalgebras
Brice Le Grignou, Damien Lejay
We give an example of a non-trivial linear operad that only admits trivial coalgebras and give sufficient conditions ensuring that the cofree coalgebra functor be faithful.