Abstract
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).
Original language | English (US) |
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Pages (from-to) | 133-161 |
Number of pages | 29 |
Journal | Journal of the European Mathematical Society |
Volume | 12 |
Issue number | 1 |
DOIs | |
State | Published - 2010 |
Keywords
- 4-manifold
- Fundamental group
- Luttinger surgery
- Symplectic topology