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

ASJC Scopus subject areas

  • Geometry and Topology

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