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arXiv · 1005.2227

Spectra associated to symmetric monoidal bicategories

Angélica Osorno
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Abstract

We show how to construct a Gamma-bicategory from a symmetric monoidal bicategory, and use that to show that the classifying space is an infinite loop space upon group completion. We also show a way to relate this construction to the classic Gamma-category construction for a bipermutative category. As an example, we use this machinery to construct a delooping of the K-theory of a bimonoidal category as defined by Baas-Dundas-Rognes.

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BibTeXRIS

Angélica Osorno. 2010-12-08. Spectra associated to symmetric monoidal bicategories. https://doi.org/10.2140/agt.2012.12.307

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