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Twisted Morava K-theory and E-theory

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arxiv 1109.3867 v3 pith:7CN4BQ4M submitted 2011-09-18 math.AT hep-thmath.KT

Hisham Sati , Craig Westerland This is my paper · ORCID
classification math.AThep-thmath.KT
keywords twistedmoravacohomologydefinee-theoryintegralk-theorytheory
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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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  1. Six-dimensional gauge theories and (twisted) generalized cohomology

    hep-th 2019-08 conditional novelty 6.0 of 10

    Combining an abelianized Yang-Mills field with its dual in 6D N=(1,0) supergravity yields a class in twisted K-theory, with the B-field as twist.

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