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Article Dans Une Revue Journal of Geometry and Physics Année : 2002

On the Topological Interpretation of Gravitational Anomalies

Résumé

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.

Dates et versions

hal-00131037 , version 1 (14-02-2007)

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Denis Perrot. On the Topological Interpretation of Gravitational Anomalies. Journal of Geometry and Physics, 2002, 39, pp.82-96. ⟨hal-00131037⟩
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