Abstract
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 language | English |
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Pages (from-to) | 69-98 |
Number of pages | 30 |
Journal | Journal of K-Theory |
Volume | 12 |
Issue number | 1 |
DOIs | |
Publication status | Published - Aug 2013 |