Simply connected minimal symplectic 4-manifolds with signature less than - 1
For each pair (e,σ) of integers satisfying 2e + 3σ ≥ 0, σ ≤ - 2, and e + σ ≡0 (mod 4), with four exceptions, we construct a minimal, simply connected symplectic 4-manifold with Euler characteristic e and signature σ. We also produce simply connected, minimal symplectic 4-manifolds with signature zero (resp. signature-1) with Euler characteristic 4k (resp. 4k + 1) for all k ≥ 46 (resp. k ≥ 49). © European Mathematical Society 2010.
Publication Source (Journal or Book title)
Journal of the European Mathematical Society
Akhmedov, A., Baldridge, S., Baykur, R., Kirk, P., & Park, B. (2010). Simply connected minimal symplectic 4-manifolds with signature less than - 1. Journal of the European Mathematical Society, 12 (1), 133-161. https://doi.org/10.4171/jems/192