Corpus ID: 117005487

The canonical class and the $C^\infty$ properties of K\

@inproceedings{Brussee1995TheCC,
  title={The canonical class and the \$C^\infty\$ properties of K\},
  author={R. Brussee},
  year={1995}
}
We give a self contained proof using Seiberg Witten invariants that for K\"ahler surfaces with non negative Kodaira dimension (including those with $p_g = 0$) the canonical class of the minimal model and the $(-1)$-curves, are oriented diffeomorphism invariants up to sign. This implies that the Kodaira dimension is determined by the underlying differentiable manifold (Van de Ven Conjecture). We use a set up that replaces generic metrics by the construction of a localised Euler class of an… Expand
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