K-cycles for twisted K-homology

Paul Baum, Alan Carey, Bai Ling Wang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 (US)
Pages (from-to)69-98
Number of pages30
JournalJournal of K-Theory
Issue number1
StatePublished - Aug 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

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