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Diagrammatic model for free product in monad infinity category

Under the additional assumption that everything is well-behaved with respect to some model structures and the monad is particularly nice, Batanin and Berger's model structure on algebras over polynomial monads
Dmitry Vaintrob's user avatar
12 votes

Is forming the Albanese variety a monad?

In particular, here we can apply the theory of idempotent monads, see e.g. https://ncatlab.org/nlab/show/idempotent+monad. …
Dmitry Vaintrob's user avatar