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

Anar Akhmedov, Scott Baldridge, R. Inanç Baykur, Paul Kirk, B. Doug Park

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

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 languageEnglish (US)
Pages (from-to)133-161
Number of pages29
JournalJournal of the European Mathematical Society
Volume12
Issue number1
DOIs
StatePublished - 2010

Keywords

  • 4-manifold
  • Fundamental group
  • Luttinger surgery
  • Symplectic topology

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