On operads, bimodules and analytic functors

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Bibliographic Information

On operads, bimodules and analytic functors

Nicola Gambino, André Joyal

(Memoirs of the American Mathematical Society, no. 1184)

American Mathematical Society, 2017

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Note

"Volume 249, number 1184 (fifth of 8 numbers), September 2017"

Bibliography: p. 107-110

Description and Table of Contents

Description

The authors develop further the theory of operads and analytic functors. In particular, they introduce the bicategory $\operatorname{OpdBim}_{\mathcal{V}}$ of operad bimodules, that has operads as $0$-cells, operad bimodules as $1$-cells and operad bimodule maps as 2-cells, and prove that it is cartesian closed. In order to obtain this result, the authors extend the theory of distributors and the formal theory of monads.

Table of Contents

Introduction Background Monoidal distributors Symmetric sequences The bicategory of operad bimodules Cartesian closure of operad bimodules Appendix A. A compendium of bicategorical definitions Appendix B. A technical proof Bibliography.

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