Journal of the
Korean Mathematical Society JKMS

In this note we construct an anti-symplectic involution on the non-K\" ahler, symplectic 4-manifold which is constructed by Thurston and show that the quotient of the Thurston's 4-manifold is not symplectic. Also we construct a non-K\" ahler, symplectic 4-manifold using the Gomph's symplectic sum method and an anti-symplectic involution on the non-K\" ahler, symplectic 4-manifold.

Keywords: non-Kahler symplectic 4-manifold, anti-symplectic involution, Dolgachev surface, quotient manifold

MSC numbers: 14J27, 14J28, 53D05, 57R17, 57R22, 57R5