Geodesic
Global orthogonal spectra
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 313-332.

Voir la notice de l'article provenant de la source International Press of Boston

For any compact Lie 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 compact Lie group $G$. We use the framework of enriched indexed categories to make this precise. We also consider equivariant $K$-theory and $\operatorname{Spin}^c$-cobordism from this perspective, and we show that the Atiyah-Bott-Shapiro orientation extends to the global context.
DOI : 10.4310/HHA.2014.v16.n1.a17
Classification : 55P42, 55P91
Keywords: equivariant homotopy, homotopy, spectra, global 
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Anna Marie Bohmann. Global orthogonal spectra. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 313-332. doi : 10.4310/HHA.2014.v16.n1.a17. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a17/

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