Translator Disclaimer
2014 Global orthogonal spectra
Anna Marie Bohmann
Homology Homotopy Appl. 16(1): 313-332 (2014).

Abstract

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.

Citation

Download Citation

Anna Marie Bohmann. "Global orthogonal spectra." Homology Homotopy Appl. 16 (1) 313 - 332, 2014.

Information

Published: 2014
First available in Project Euclid: 3 June 2014

zbMATH: 1356.55009
MathSciNet: MR3217308

Subjects:
Primary: 55P42, 55P91

Rights: Copyright © 2014 International Press of Boston

JOURNAL ARTICLE
20 PAGES


SHARE
Vol.16 • No. 1 • 2014
Back to Top