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The -conjecture and equivariant e C -invariants

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Let X be a smooth closed oriented non-spin 4-manifold with even intersection form kE 8 ⊕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 e C -invariants as in the paper of M. Furuta and Y. Kametani.

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  1. Department of Mathematics, KAIST, Kusong-Dong, Yusong-Gu, Daejon, 305--701, Republic of Korea

    Jin-Hong Kim

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  1. Jin-Hong Kim
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Correspondence to Jin-Hong Kim.

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Mathematics Subject Classification (1991): 57R55

This work was supported by Korea Research Foundation Grant (KRF–2002–003–C00011).

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Kim, JH. The -conjecture and equivariant e C -invariants. Math. Ann. 329, 31–47 (2004). https://doi.org/10.1007/s00208-004-0509-2

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