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In this paper we calculate the effect of the inclusion of exotic smoothstructures on typical observables in Euclidean quantum gravity. We do this inthe semiclassical regime for several gravitational free-field actions and findthat the results are similar, independent of the particular action that ischosen. These are the first results of their kind in dimension four, which weextend to include one-loop contributions as well. We find these topologicalfeatures can have physically significant results without the need foradditional exotic physics.

Exotic Smoothness in Four Dimensions and Euclidean Quantum Gravity