Simply connected minimal symplectic 4-manifolds with signature less than --1

Akhmedov, Anar; Baldridge, Scott; Baykur, R. Inanc; Kirk, Paul; Park, B. Doug

Simply connected minimal symplectic 4-manifolds with signature less than --1

Authors

Description

For each pair $(e,σ)$ of integers satisfying $2e+3σ\ge 0$, $σ\leq -2$, and $e+σ\equiv 0\pmod{4}$, 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 $k\ge 46$ (resp. $k\ge 49$).
32 pages, 2 figures