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arXiv · 1208.4997

Global orthogonal spectra

Anna Marie Bohmann
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Abstract

For any finite group G, there are several well-established definitions of a G-equivariant spectrum. In this paper, we develop the definition of a global orthogonal spectrum. Loosely speaking, this is a coherent choice of orthogonal G-spectrum for each finite group G. We use the framework of enriched indexed categories to make this precise. We also consider equivariant K-theory and Spin^c-cobordism from this perspective, and we show that the Atiyah--Bott--Shapiro orientation extends to the global context.

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Anna Marie Bohmann. 2012-08-24. Global orthogonal spectra. https://doi.org/10.4310/hha.2014.v16.n1.a17

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