Simply connected minimal symplectic 4-manifolds with signature less than

  • Anar Akhmedov

    Columbia University, New York, United States
  • Scott Baldridge

    Louisiana State University, Baton Rouge, United States
  • R. İnanç Baykur

    Brandeis University, Waltham, United States
  • Paul Kirk

    Indiana University, Bloomington, United States
  • B. Doug Park

    University of Waterloo, Canada

Abstract

For each pair of integers satisfying , , and (mod ), with four exceptions, we construct a minimal, simply connected symplectic 4-manifold with Euler characteristic and signature . We also produce simply connected, minimal symplectic 4-manifolds with signature zero (resp. signature ) with Euler characteristic (resp. ) for all (resp. ).

Cite this article

Anar Akhmedov, Scott Baldridge, R. İnanç Baykur, Paul Kirk, B. Doug Park, Simply connected minimal symplectic 4-manifolds with signature less than . J. Eur. Math. Soc. 12 (2010), no. 1, pp. 133–161

DOI 10.4171/JEMS/192