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
1 Citations
SO(3) monopoles, level-one Seiberg–Witten moduli spaces, and Witten's conjecture in low degrees
• Mathematics, Physics
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In this revised version, we add some expository material and references and make some minor corrections.