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2012 Spectra associated to symmetric monoidal bicategories
Angélica M Osorno
Algebr. Geom. Topol. 12(1): 307-342 (2012). DOI: 10.2140/agt.2012.12.307

Abstract

We show how to construct a Γ–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 Γ–category construction for a permutative category. As an example, we use this machinery to construct a delooping of the K–theory of a rig category as defined by Baas, Dundas and Rognes [London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 18–45].

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Angélica M Osorno. "Spectra associated to symmetric monoidal bicategories." Algebr. Geom. Topol. 12 (1) 307 - 342, 2012. https://doi.org/10.2140/agt.2012.12.307

Information

Received: 8 December 2010; Revised: 21 November 2011; Accepted: 28 November 2011; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1276.18006
MathSciNet: MR2916278
Digital Object Identifier: 10.2140/agt.2012.12.307

Subjects:
Primary: 18D05, 55B20, 55P42
Secondary: 19D23, 55N15

Rights: Copyright © 2012 Mathematical Sciences Publishers

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Vol.12 • No. 1 • 2012
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