Twisted Morava K-theory and E-theory

Hisham Sati; Craig Westerland

doi:10.1112/jtopol/jtv020

Twisted Morava K-theory and E-theory

Hisham Sati, Craig Westerland

Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1112/jtopol/jtv020
State	Published - Jun 5 2014

ASJC Scopus subject areas

Geometry and Topology

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10.1112/jtopol/jtv020

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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.

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Twisted Morava K-theory and E-theory

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