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On the topological interpretation of gravitational anomalies

✍ Scribed by Denis Perrot

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
129 KB
Volume
39
Category
Article
ISSN
0393-0440

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✦ Synopsis

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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