Basic classes for four-manifolds not of simple type

Mathematics – Differential Geometry

Scientific paper

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13 pages, Latex2e

Scientific paper

We extend the notion of basic classes (for the Donaldson invariants) to
4-manifolds with $b^+>1$ which are (potentially) not of simple type or satisfy
$b_1 >0$. We also give a structure theorem for the Donaldson invariants of
4-manifolds with $b^+>1$, $b_1>0$ and of strong simple type.

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