Traces in symmetric monoidal categories

Kate Ponto; Michael Shulman

doi:10.1016/j.exmath.2013.12.003

Traces in symmetric monoidal categories

Kate Ponto, Michael Shulman

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The purpose of this expository note is to describe duality and trace in a symmetric monoidal category, along with important properties (including naturality and functoriality), and to give as many examples as possible. Among other things, this note is intended as background for the generalizations to the context of bicategories and indexed monoidal categories.

Original language	English
Pages (from-to)	248-273
Number of pages	26
Journal	Expositiones Mathematicae
Volume	32
Issue number	3
DOIs	https://doi.org/10.1016/j.exmath.2013.12.003
State	Published - 2014

Bibliographical note

Publisher Copyright:
© 2013 Elsevier Ltd.

Funding

Both authors were supported by National Science Foundation postdoctoral fellowships during the writing of this paper.

Funders	Funder number
National Science Foundation (NSF)	1207670

Keywords

Fixed points
Symmetric monoidal categories
Trace

ASJC Scopus subject areas

General Mathematics

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10.1016/j.exmath.2013.12.003

Cite this

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Traces in symmetric monoidal categories

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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