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arXiv · 1503.07824

K-theory for 2-categories

Nick Gurski·Niles Johnson·Angélica M. Osorno
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Abstract

We establish an equivalence of homotopy theories between symmetric monoidal bicategories and connective spectra. For this, we develop the theory of $\Gamma$-objects in 2-categories. In the course of the proof we establish strictfication results of independent interest for symmetric monoidal bicategories and for diagrams of 2-categories.

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Nick Gurski, Niles Johnson, Angélica M. Osorno. 2015-03-26. K-theory for 2-categories. https://doi.org/10.1016/j.aim.2017.10.011

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