### Abstract

For a class H ε H^{n+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

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## Cite this

Sati, H., & Westerland, C. (2014). Twisted Morava K-theory and E-theory.

*Journal of Topology*,*8*(4), 887-916. https://doi.org/10.1112/jtopol/jtv020