Abstract
The moduli spaces of instantons over a compact 4-manifold X carry a great deal of differential-topological information leading to many invariants of X. In some simple cases these invariants are just numbers, obtained by counting points in O-dimensional spaces moduli spaces, but more generally one gets polynomial functions on the homology, particularly the 2-dimensional homology, of X. To any homology class ∑ ∈ H 2(X) one associates a cohomology class μ(∑) over the moduli space and, assuming that this is even dimensional, one can then evaluate the top-dimensional power of μ(∑) on the moduli space.
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