Traces in symmetric monoidal categories

Kate Ponto, Michael Shulman

Research output: Contribution to journalArticlepeer-review

20 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 languageEnglish
Pages (from-to)248-273
Number of pages26
JournalExpositiones Mathematicae
Volume32
Issue number3
DOIs
StatePublished - 2014

Bibliographical note

Publisher Copyright:
© 2013 Elsevier Ltd.

Keywords

  • Fixed points
  • Symmetric monoidal categories
  • Trace

ASJC Scopus subject areas

  • General Mathematics

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