Abstract
Let X be a smooth closed oriented non-spin 4-manifold with even intersection form kE8⊕nH (n≥1). The -conjecture states that n is greater than or equal to |k|. In this paper we give a proof of the -conjecture. The strategy of this paper is to use the finite dimensional approximation of the map induced from the Seiberg-Witten equations and equivariant eC-invariants as in the paper of M. Furuta and Y. Kametani.
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