3 citations · 6 across the 4 of their papers we have counts for
4 papers
2-categories and cyclic homology
Paul Slevin
The topic of this thesis is the application of distributive laws between comonads to the theory of cyclic homology. Explicitly, our main aims are: 1) To study how the cyclic homolo…
Hochschild homology, lax codescent, and duplicial structure
Richard Garner, Stephen Lack, Paul Slevin
We study the duplicial objects of Dwyer and Kan, which generalize the cyclic objects of Connes. We describe duplicial objects in terms of the decalage comonads, and we give a conce…
Cyclic homology arising from adjunctions
Niels Kowalzig, Ulrich Kraehmer, Paul Slevin
Given a monad and a comonad, one obtains a distributive law between them from lifts of one through an adjunction for the other. In particular, this yields for any bialgebroid the Y…
Factorisations of distributive laws
Ulrich Kraehmer, Paul Slevin
Recently, Boehm and Stefan constructed duplicial (paracyclic) objects from distributive laws between (co)monads. Here we define the category of factorisations of a distributive law…