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- W2135667056 abstract "HTML view is not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button. Let $X$ be a closed, symplectic 4-manifold. Suppose that there is either a symplectic or an anti-symplectic involution $sigma : X,{to}, X$ with a 2-dimensional compact, oriented submanifold $Sigma$ as a fixed point set.If $sigma$ is a symplectic involution then the quotient $X/sigma$ with $b_2^+(X/sigma),{ge}, 1$ is a symplectic 4-manifold.If $sigma$ is an anti-symplectic involution and $Sigma$ has genus greater than 1 representing non-trivial homology class, we prove a vanishing theorem on Seiberg-Witten invariants of the quotient $X/sigma$ with $b_2^+(X/sigma),{ >},1.$If $Sigma$ is a torus with self-intersection number 0, we get a relation between the Seiberg-Witten invariants on $X$ and those of $X/sigma$ with $b_2^+(X), b_2^+(X/sigma),{ >},2$ which was obtained in [21] when the genus $g(Sigma),{ >},1$ and $SigmacdotSigma,{=},0$.This work was supported by a Korea Research Foundation Grant (No KRF-2002-072-C00010)." @default.
- W2135667056 created "2016-06-24" @default.
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- W2135667056 date "2003-09-01" @default.
- W2135667056 modified "2023-10-18" @default.
- W2135667056 title "SEIBERG-WITTEN INVARIANTS AND (ANTI-)SYMPLECTIC INVOLUTIONS" @default.
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- W2135667056 doi "https://doi.org/10.1017/s0017089503001344" @default.
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