Twisted Morava K-theory and E-theory
Abstract
For an integral cohomology class H of degree n+2 on a space X, we define twisted Morava K-theory K(n)(X; H) at the prime 2, as well as an integral analogue. We explore properties of this twisted cohomology theory, study a twisted Atiyah-Hirzebruch spectral sequence, and give a universal coefficient theorem (in the spirit of Khorami). We extend the construction to define twisted Morava E-theory, and provide applications to string theory and M-theory.
Keywords
Cite
@article{arxiv.1109.3867,
title = {Twisted Morava K-theory and E-theory},
author = {Hisham Sati and Craig Westerland},
journal= {arXiv preprint arXiv:1109.3867},
year = {2017}
}
Comments
30 pages. Updated: Results for Morava E-theory have been corrected to only apply to deformations of the "standard" Morava K-theory. Additionally, they have been extended to work at all primes. Typos have been fixed and minor changes in terminology made. The paper has been accepted for publication by the Journal of Topology