Title: on the Spectral Characterization of Manifolds
نویسنده
چکیده
I will show that the first five axioms I had given in '96 on spectral triples suffice in the com-mutative case to characterize smooth compact manifolds. I will also define a new invariant in Riemannian geometry, which when combined with the spectrum of the Dirac operator is a complete invariant of the geometry. It is an analogue of the CKM mixing matrix of the Standard model.
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تاریخ انتشار 2008