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arXiv · 1405.7270

On operads, bimodules and analytic functors

Nicola Gambino·André Joyal
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Abstract

We develop further the theory of operads and analytic functors. In particular, we introduce a bicategory that has operads as 0-cells, operad bimodules as 1-cells and operad bimodule maps as 2-cells, and prove that this bicategory is cartesian closed. In order to obtain this result, we extend the theory of distributors and the formal theory of monads.

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Nicola Gambino, André Joyal. 2014-05-28. On operads, bimodules and analytic functors. https://doi.org/10.1090/memo%2F1184

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