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Traces in symmetric monoidal categories

· 2011 · math.CT · arXiv 1107.6032

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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.

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  • Iterated traces in 2-categories and Lefschetz theorems math.AT · 2019-08-20 · conditional · none · ref 31 · internal anchor

    Iterated traces in any 2-dualizable symmetric monoidal bicategory commute, recovering and extending a wide family of Lefschetz-type theorems.