Homology and cohomology computations

This chapter contains computations of homology invariants of S-manifolds presented by means of our calculi. The first section contains the first elementary homology computations, and its results are used in various parts of this monograph. In the second section we compute some less trivial homology invariants, which have also been referred to in Chapter 8. In the third section we provide a recipe to determine whether a framed knot in a spin manifold is even or odd.