Title

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

Document Type

Article

Publication Date

1-1-2010

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). © European Mathematical Society 2010.

Publication Source (Journal or Book title)

Journal of the European Mathematical Society

First Page

133

Last Page

161

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