Simply connected minimal symplectic 4-manifolds with signature less than −1
Scott Baldridge
Louisiana State University, Baton Rouge, United StatesPaul Kirk
Indiana University, Bloomington, United StatesAnar Akhmedov
Columbia University, New York, United StatesR. İnanç Baykur
Brandeis University, Waltham, United StatesB. Doug Park
University of Waterloo, Canada

Abstract
For each pair (e,σ) of integers satisfying 2_e_ + 3_σ_ ≥ 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 4_k_ (resp. 4_k_ + 1) for all k ≥ 46 (resp. k ≥ 49).
Cite this article
Scott Baldridge, Paul Kirk, Anar Akhmedov, R. İnanç Baykur, B. Doug Park, Simply connected minimal symplectic 4-manifolds with signature less than −1. J. Eur. Math. Soc. 12 (2010), no. 1, pp. 133–161
DOI 10.4171/JEMS/192