Traces in symmetric monoidal categories

Mathematics – Category Theory

Scientific paper

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24 pages

Scientific paper

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.

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