Traces in symmetric monoidal categories
Category Theory
2013-10-25 v2
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.
Cite
@article{arxiv.1107.6032,
title = {Traces in symmetric monoidal categories},
author = {Kate Ponto and Michael Shulman},
journal= {arXiv preprint arXiv:1107.6032},
year = {2013}
}
Comments
25 pages; v2: final version, to appear in Expositiones Mathematicae