K-cycles for twisted K-homology

Paul Baum, Alan Carey, Bai Ling Wang

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)


    We summarise the construction of geometric cycles and their use in describing the Kasparov K-homology of a CW-complex X. When Kasparov K-homology is twisted by a degree three element of the Čech cohomology of X then there is a corresponding construction of twisted geometric cycles for the case where X is a smooth manifold however the method that was employed does not apply in the case of CW-complexes. In this article we propose a new approach to the construction of twisted geometric cycles for CW-complexes motivated by the study of D-branes in string theory.

    Original languageEnglish
    Pages (from-to)69-98
    Number of pages30
    JournalJournal of K-Theory
    Issue number1
    Publication statusPublished - Aug 2013


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