147 citations · 550 across the 42 of their papers we have counts for
4 papers · 1 filter
Culf maps and edgewise subdivision
Philip Hackney, Joachim Kock
We show that, for any simplicial space , the -category of culf maps over is equivalent to the -category of right fibrations over , the…
Antipodes of monoidal decomposition spaces
Louis Carlier, Joachim Kock
We introduce a notion of antipode for monoidal (complete) decomposition spaces, inducing a notion of weak antipode for their incidence bialgebras. In the connected case, this recov…
-Operads as Analytic Monads
David Gepner, Rune Haugseng, Joachim Kock
We develop an -categorical version of the classical theory of polynomial and analytic functors, initial algebras, and free monads. Using this machinery, we provide a new mo…
Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture
Joachim Kock, Bertrand Toën
We show that if $(M,\tensor,I)$ is a monoidal model category then $\REnd_M(I)$ is a (weak) 2-monoid in $\sSet$. This applies in particular when is the category of -bimodules…