Twisted Morava Ktheory

General Introduction
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
arXiv:1109.3867 Twisted Morava Ktheory and Etheory from arXiv Front: math.AT by Hisham Sati, Craig Westerland For an integral cohomology class H of degree n+2 on a space X, we define twisted Morava Ktheory 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 AtiyahHirzebruch spectral sequence, and give a universal coefficient theorem (in the spirit of Khorami). We extend the construction to define twisted Morava Etheory, and provide applications to string theory and Mtheory.
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