On the Topological Interpretation of Gravitational Anomalies

Details On the Topological Interpretation of Gravitational Anomalies On the Topological Interpretation of Gravitational Anomalies

2000-06-05

arxiv.org/abs/math-ph/0006003v1

J.Geom.Phys. 39 (2001) 82-96

Physics

Mathematical Physics

16 pages, LaTex, no figures

Scientific paper

10.1016/S0393-0440(01)00002-X

We consider the mixed gravitational-Yang-Mills anomaly as the coupling between the $K$-theory and $K$-homology of a $C^*$-algebra crossed product. The index theorem of Connes-Moscovici allows to compute the Chern character of the $K$-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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