On operads, bimodules and analytic functors

Nicola Gambino, André Joyal

Research output: Book/ReportBookpeer-review


We develop further the theory of operads and analytic functors. In particular, we introduce the bicategory OpdBimV 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, we extend the theory of distributors and the formal theory of monads.
Original languageEnglish
Place of PublicationProvidence
PublisherAmerican Mathematical Society
Number of pages115
ISBN (Electronic) 9781470441357
ISBN (Print)9781470425760
Publication statusPublished - 9 Aug 2017

Publication series

NameMemoirs of the American Mathematical Society
PublisherAmerican Mathematical Society (AMS)


  • Operad
  • bimodule
  • bicategory
  • symmetric sequence
  • analytic functor


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