Multiplicative structure on Real Johnson-Wilson theory
Algebraic Topology
2017-08-31 v2
Abstract
We prove that the Real Johnson-Wilson theories ER(n) are homotopy associative and commutative ring spectra up to phantom maps. We further show that ER(n) represents an associatively and commutatively multiplicative cohomology theory on the category of (possibly non-compact) spaces.
Cite
@article{arxiv.1701.00255,
title = {Multiplicative structure on Real Johnson-Wilson theory},
author = {Nitu Kitchloo and Vitaly Lorman and W. Stephen Wilson},
journal= {arXiv preprint arXiv:1701.00255},
year = {2017}
}
Comments
16 pages, version 2. Added a new section revisiting $ER(n)$-orientations of vector bundles and minor improvements to exposition. To appear in Proceedings of the Mid-Atlantic Topology Conference