Twisted Morava K-theory and E-theory

Hisham Sati, Craig Westerland

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)887-916
Number of pages30
JournalJournal of Topology
Volume8
Issue number4
DOIs
StatePublished - Jun 5 2014

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Morava K-theory
M-Theory
Michael Francis Atiyah
Spectral Sequence
String Theory
Cohomology
Analogue
Coefficient
Theorem

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Twisted Morava K-theory and E-theory. / Sati, Hisham; Westerland, Craig.

In: Journal of Topology, Vol. 8, No. 4, 05.06.2014, p. 887-916.

Research output: Contribution to journalArticle

Sati, Hisham ; Westerland, Craig. / Twisted Morava K-theory and E-theory. In: Journal of Topology. 2014 ; Vol. 8, No. 4. pp. 887-916.
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