On the Topological Interpretation of Gravitational Anomalies
arXiv:math-ph/0006003 · doi:10.1016/S0393-0440(01)00002-X
Abstract
We consider the mixed gravitational-Yang-Mills anomaly as the coupling between the -theory and -homology of a -algebra crossed product. The index theorem of Connes-Moscovici allows to compute the Chern character of the -cycle by local formulae involving connections and curvatures. It gives a topological interpretation to the anomaly, in the sense of noncommutative algebras.
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