Betti numbers of a class of barely G 2 manifolds

We calculate explicitly the Betti numbers of a class of barely G2 manifolds that is, G2 manifolds that are realised as a product of a Calabi-Yau manifold and a circle, modulo an involution. The particular class which we consider are those spaces where the CalabiYau manifolds are complete intersections of hypersurfaces in products of complex projective… (More)