Simply connected minimal symplectic 4-manifolds with signature less than
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
![Simply connected minimal symplectic 4-manifolds with signature less than $−1$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-12-issue-1.png&w=3840&q=90)
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
Scott Baldridge, Paul Kirk, Anar Akhmedov, R. İnanç Baykur, 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