Mathematics – Algebraic Topology
Scientific paper
2009-03-26
Geom. Topol. Monogr. 10 (2007) 237-244
Mathematics
Algebraic Topology
This is the version published by Geometry & Topology Monographs on 27 January 2007
Scientific paper
10.2140/gtm.2007.10.237
We consider real spectra, collections of Z/(2)-spaces indexed over Z oplus Z alpha with compatibility conditions. We produce fibrations connecting the homotopy fixed points and the spaces in these spectra. We also evaluate the map which is the analogue of the forgetful functor from complex to reals composed with complexification. Our first fibration is used to connect the real 2^{n+2}(2^n-1)-periodic Johnson--Wilson spectrum ER(n) to the usual 2(2^n-1)-periodic Johnson--Wilson spectrum, E(n). Our main result is the fibration Sigma^{lambda(n)} ER(n) --> ER(n) --> E(n)$, where lambda(n) = 2^{2n+1}-2^{n+2}+1.
Kitchloo Nitu
Wilson Stephen W.
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