K-cycles for twisted K-homology

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Abstract
We summarise the construction of geometric cycles and their use in describing the KasparovK-homology of a CW-complexX. When KasparovK-homology is twisted by a degree three element of the Čech cohomology ofXthen there is a corresponding construction of twisted geometric cycles for the case whereXis 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 ofD-branes in string theory.