Generalized nerves of monads

Charles Walker

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arXiv · 2204.07606

Generalized nerves of monads

Charles Walker

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Abstract

One interpretation of the Kleisli construction (given by Miranda and related to work of Par\'e) is as a nerve sending a monad $P$ to the Kleisli double category of $P$. In this paper we find more general nerve constructions on the 2-categories of monads, which also give fully faithful nerve 2-functors $\mathbf{Mnd}\left(\mathcal{K}\right)\to\mathbf{Dbl}$.

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Charles Walker. 2022-04-15. Generalized nerves of monads. https://arxiv.org/abs/2204.07606

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