### 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) |
---|---|

Pages (from-to) | 887-916 |

Number of pages | 30 |

Journal | Journal of Topology |

Volume | 8 |

Issue number | 4 |

DOIs | |

State | Published - Jun 5 2014 |

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### ASJC Scopus subject areas

- Geometry and Topology

### Cite this

*Journal of Topology*,

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

**Twisted Morava K-theory and E-theory.** / Sati, Hisham; Westerland, Craig.

Research output: Contribution to journal › Article

*Journal of Topology*, vol. 8, no. 4, pp. 887-916. https://doi.org/10.1112/jtopol/jtv020

}

TY - JOUR

T1 - Twisted Morava K-theory and E-theory

AU - Sati, Hisham

AU - Westerland, Craig

PY - 2014/6/5

Y1 - 2014/6/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84950114202&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84950114202&partnerID=8YFLogxK

U2 - 10.1112/jtopol/jtv020

DO - 10.1112/jtopol/jtv020

M3 - Article

VL - 8

SP - 887

EP - 916

JO - Journal of Topology

JF - Journal of Topology

SN - 1753-8416

IS - 4

ER -