Title:
On fibrations related to real spectra
Authors:
Nitu Kitchloo and W. Stephen Wilson
E-mail addresses:
nitu@math.jhu.edu, wsw@math.jhu.edu
Address:
Department of Mathematics
Johns Hopkins University
Baltimore, Maryland 21218
Abstract:
We consider real spectra, collections of Z/(2)-spaces
indexed over Z direct sum 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.