On operads, bimodules and analytic functors

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...

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Detalles Bibliográficos
Autores principales: Gambino, Nicola, Joyal, André
Lenguaje:eng
Publicado: American Mathematical Society 2017
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2312747
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author Gambino, Nicola
Joyal, André
author_facet Gambino, Nicola
Joyal, André
author_sort Gambino, Nicola
collection CERN
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.
id cern-2312747
institution Organización Europea para la Investigación Nuclear
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publishDate 2017
publisher American Mathematical Society
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spelling cern-23127472021-04-21T18:51:38Zhttp://cds.cern.ch/record/2312747engGambino, NicolaJoyal, AndréOn operads, bimodules and analytic functorsMathematical Physics and MathematicsThe 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.American Mathematical Societyoai:cds.cern.ch:23127472017
spellingShingle Mathematical Physics and Mathematics
Gambino, Nicola
Joyal, André
On operads, bimodules and analytic functors
title On operads, bimodules and analytic functors
title_full On operads, bimodules and analytic functors
title_fullStr On operads, bimodules and analytic functors
title_full_unstemmed On operads, bimodules and analytic functors
title_short On operads, bimodules and analytic functors
title_sort on operads, bimodules and analytic functors
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2312747
work_keys_str_mv AT gambinonicola onoperadsbimodulesandanalyticfunctors
AT joyalandre onoperadsbimodulesandanalyticfunctors

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