On the Twisted K-Homology of Simple Lie Groups

نویسنده

  • Christopher L. Douglas
چکیده

We prove that the twisted K-homology of a simply connected simple Lie group G of rank n is an exterior algebra on n − 1 generators tensor a cyclic group. We give a detailed description of the order of this cyclic group in terms of the dimensions of irreducible representations of G and show that the congruences determining this cyclic order lift along the twisted index map to relations in the twisted Spinc bordism group of G.

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تاریخ انتشار 2008