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) |
|---|---|
| Pages (from-to) | 887-916 |
| Number of pages | 30 |
| Journal | Journal of Topology |
| Volume | 8 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jun 5 2014 |
Bibliographical note
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