Algebraic Geometry Seminar: Twisted Geometric Cycles

I aim to explain a recent paper of my collaborator Bai-Ling Wang in which he proves that there is a generalisation of the Baum-Douglas geometric cycles which realise ordinary K-homology classes to the case of twisted K-homology. We propose that these twisted geometric cycles are D-branes in string theory. There is an analogous picture for manifolds that are not string.