Abstract
We demonstrate the absence of global gravitational anomalies for a small class of three-manifolds in which topological field theory is defined, by establishing the absence of disconnected general coordinate transformations. Specifically, we prove the invariance of the Chern-Simons-Witten effective action under the mapping class group, that is, the group of equivalence classes of diffeomorphisms that cannot be smoothly deformed to the identity.
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