On Operads, Bimodules and Analytic Functors

Nicola Gambino, Andre Joyal (Autoren)

Buch | Softcover

110 Seiten

2017
American Mathematical Society (Verlag)
978-1-4704-2576-0 (ISBN)

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Develops the theory of operads and analytic functors. In particular, the authors 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.

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.

Nicola Gambino, University of Leeds, United Kingdom. Andre Joyal, Universite du Quebec a Montreal, Quebec, Canada.

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.

Erscheinungsdatum	12.10.2017
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	180 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	1-4704-2576-9 / 1470425769
ISBN-13	978-1-4704-2576-0 / 9781470425760
Zustand	Neuware