Akhmedov, Anar; Park, B. Doug; Urzua, Giancarlo Spin symplectic 4-manifolds near Bogomolov-Miyaoka-Yau line. (English) Zbl 1267.57034 J. Gökova Geom. Topol. GGT 4, 55-66 (2010). Summary: We construct the first known family of simply connected spin symplectic 4-manifolds \(M_{k}\) satisfying \(c_{1}^{2}(M_{k}) / \chi _{h}(M_{k}) \to 9\) as \(k \to \infty \). Using \(M_{k}\), we also construct many other new spin symplectic 4-manifolds with nonnegative signature. Cited in 3 Documents MSC: 57R55 Differentiable structures in differential topology 57R17 Symplectic and contact topology in high or arbitrary dimension 57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) PDFBibTeX XMLCite \textit{A. Akhmedov} et al., J. Gökova Geom. Topol. GGT 4, 55--66 (2010; Zbl 1267.57034) Full Text: Link