On operads, bimodules, and analytic functors / Nicola Gambino and Andre Joyal.

By:

Gambino, Nicola [author]

Contributor(s):

Joyal, Andre [author]

Material type: Text

TextSeries: Memoirs of the American Mathematical Society ; v 249, no 1184.Publication details: Providence : American Mathematical Society, 2017.Description: v, 110 pages : illustrations ; 26 cmISBN:

9781470425760 (alk. paper)

Subject(s):

DDC classification:

510 23 Am512

Contents:

Introduction -- 1. Background -- 2. Monoidal distributors -- 3. Symmetric sequences -- 4. The bicategory of operad bimodules -- 5. Cartesian closure of operad bimodules -- Appendix A: A compendium of bicategorical definitions -- Appendix B: A technical proof -- Bibliography.

Summary: "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."--Page v.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	510 Am512 (Browse shelf(Opens below))	Available		138226

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Includes bibliographical references.

Introduction --
1. Background --
2. Monoidal distributors --
3. Symmetric sequences --
4. The bicategory of operad bimodules --
5. Cartesian closure of operad bimodules --
Appendix A: A compendium of bicategorical definitions --
Appendix B: A technical proof --
Bibliography.

"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."--Page v.

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