Alan Carey (ANU Canberra)
Abstract: I will describe the approach to constructing twisted K homology of manifolds due to B-L Wang. It uses a generalisation of Baum-Douglas geometric cycles and gives a mathematical interpretation of D-branes. The proof that all classes in the twisted K-group can be realised this way depends on the manifold structure. For spaces with singularities a different approach is needed. I will explain an alternative idea due to Baum, Wang and myself. It is sufficiently general to construct the twisted K-homology of CW complexes.
Coming soon.