The geography of symplectic 4-manifolds with divisible canonical class

Abstract

We consider a version of the geography question for simply connected symplectic 4-manifolds that takes as an additional parameter the divisibility of the canonical class. We also find new examples of 4-manifolds admitting several symplectic structures that are inequivalent under deformation and self-diffeomorphisms of the manifold. © 2010 Pacific Journal of Mathematics.