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

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

2007-05-06

arxiv.org/abs/0705.0778v1

Mathematics

Geometric Topology

32 pages, 2 figures

Scientific paper

For each pair $(e,\sigma)$ of integers satisfying $2e+3\sigma\ge 0$, $\sigma\leq -2$, and $e+\sigma\equiv 0\pmod{4}$, with four exceptions, we construct a minimal, simply connected symplectic 4-manifold with Euler characteristic $e$ and signature $\sigma$. 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. $k\ge 49$).

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