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

Authors

Anar Akhmedov, University of Minnesota Twin Cities
Scott Baldridge, Louisiana State University
R. Inanç Baykur, Brandeis University
Paul Kirk, Indiana University Bloomington
B. Doug Park, University of Waterloo

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

Recommended Citation

Akhmedov, A., Baldridge, S., Baykur, R., Kirk, P., & Park, B. (2010). Simply connected minimal symplectic 4-manifolds with signature less than - 1. Journal of the European Mathematical Society, 12 (1), 133-161. https://doi.org/10.4171/jems/192