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On the topological interpretation of gravitational anomalies

Identifieur interne : 000344 ( France/Analysis ); précédent : 000343; suivant : 000345

On the topological interpretation of gravitational anomalies

Auteurs : Denis Perrot [France]

Source :

RBID : ISTEX:1B415082CA2F85BD668B40FD53FD9DA836A39C45

English descriptors

Abstract

Abstract: 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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DOI: 10.1016/S0393-0440(01)00002-X


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ISTEX:1B415082CA2F85BD668B40FD53FD9DA836A39C45

Le document en format XML

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<div type="abstract" xml:lang="en">Abstract: 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.</div>
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