Alan Carey (ANU Canberra): A geometric approach to twisted K-homology

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. 

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At a glance
Feb. 25, 2014
Nils Carqueville (U of Vienna)
Stephen Simons (UC, Santa Barbara)