GRAVITATIONAL ANOMALY AND THE WORLD TOPOLOGY
1992 ◽
Vol 07
(01)
◽
pp. 33-42
◽
Keyword(s):
Here it is shown that the gravitational anomaly is compensated by the torsion term in the Einstein–Cartan action when the geometrical and topological origin of torsion is considered in the context of quantum geometry characterizing the quantization procedure of a fermion. The relationship of this anomaly with Pontryagin index is then established. The relevance of this index in the origin of topological fixtures like wormholes in space-time has also been discussed.