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

    Fingerprint

    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, H & Westerland, C 2014, 'Twisted Morava K-theory and E-theory', Journal of Topology, vol. 8, no. 4, pp. 887-916. https://doi.org/10.1112/jtopol/jtv020
    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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