Twisted Morava K-theory and E-theory
Hisham Sati, Craig Westerland
TL;DR
This paper introduces twisted Morava K-theory and E-theory, exploring their properties, spectral sequences, and applications to string and M-theory, providing new tools for algebraic topology and theoretical physics.
Contribution
It defines twisted Morava K-theory and E-theory at prime 2, extending classical theories with new constructions and applications in physics.
Findings
Defined twisted Morava K-theory at prime 2.
Developed a twisted Atiyah-Hirzebruch spectral sequence.
Applied the theories to string theory and M-theory.
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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