On Operads, Bimodules and Analytic Functors

ISBN-13: 9781470425760 / Angielski

Nicola Gambino;Andre Joyal

Opis

The authors develop further the theory of operads and analytic functors. In particular, they introduce the bicategory $operatorname_$ 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.

Spis treści

• 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.