Abstract
For a class H ε Hn+2(X; Z), 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, studying a twisted Atiyah-Hirzebruch spectral sequence, 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.
Original language | English (US) |
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Pages (from-to) | 887-916 |
Number of pages | 30 |
Journal | Journal of Topology |
Volume | 8 |
Issue number | 4 |
DOIs | |
State | Published - Jun 5 2014 |
ASJC Scopus subject areas
- Geometry and Topology