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A note on indecomposable 4-manifolds

홍윤희|조용승
대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회보 (Bulletin of the KMS)|제42권 제4호|pp. 817-828

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Abstract

In this note we show that there is an anti-symplectic involution sigma : X to X on a simply-connected, closed, non-Kahler and symplectic 4-manifold X with a disjoint union of Riemann surfaces \coprod_{i=1}^n\Sigma_i, n ge 2 as a fixed point set. Also we show that its quotient X/sigma is homeomorphic to CP^2\sharp r bar{ CP^2} but not diffeomorphic toCP^2\sharp r bar{ CP^2} , r = bar{b_2}(X/sigma).

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