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arXiv · 1109.3867

Twisted Morava K-theory and E-theory

Hisham Sati·Craig Westerland
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Abstract

For an integral cohomology class H of degree n+2 on a space X, 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, study a twisted Atiyah-Hirzebruch spectral sequence, and give 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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Hisham Sati, Craig Westerland. 2015-04-28. Twisted Morava K-theory and E-theory. https://doi.org/10.1112/jtopol%2Fjtv020

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