Basic classes for four-manifolds not of simple type

Abstract

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 b1 >0. We also give a structure theorem for the Donaldson invariants of 4-manifolds with b+>1, b1>0 and of strong simple type.

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