Vol. 261, No. 2, 2013

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Geography of simply connected nonspin symplectic 4-manifolds with positive signature

Anar Akhmedov, Mark C. Hughes and B. Doug Park

Vol. 261 (2013), No. 2, 257–282
Abstract

We construct new families of closed simply connected nonspin irreducible symplectic 4-manifolds with positive signature that are interesting with respect to the geography problem.

Keywords
symplectic 4-manifold, geography, branched covering, semifree action, generalized fiber sum
Mathematical Subject Classification 2010
Primary: 57R17, 57R55
Secondary: 57M60, 57M12
Milestones
Received: 6 March 2011
Revised: 9 January 2013
Accepted: 16 January 2013
Published: 20 March 2013
Authors
Anar Akhmedov
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
United States
Mark C. Hughes
Department of Mathematics
Stony Brook University
Stony Brook, NY 11794-3651
United States
B. Doug Park
Department of Pure Mathematics
University of Waterloo
Waterloo, ON
N2L 3G1
Canada