On the Topological Interpretation of Gravitational Anomalies
Perrot, Denis
HAL, hal-00131037 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00131037,
     author = {Perrot, Denis},
     title = {On the Topological Interpretation of Gravitational Anomalies},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00131037}
}

Perrot, Denis. On the Topological Interpretation of Gravitational Anomalies. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00131037/