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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© 1995 Birkhäuser Verlag
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Braam, P.J., Donaldson, S.K. (1995). Fukaya-Floer homology and gluing formulae for polynomial invariants. In: Hofer, H., Taubes, C.H., Weinstein, A., Zehnder, E. (eds) The Floer Memorial Volume. Progress in Mathematics, vol 133. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9217-9_11
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DOI: https://doi.org/10.1007/978-3-0348-9217-9_11
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