On the geography of symplectic 4-manifolds with divisible canonical class

Abstract

In this article we consider a version of the geography question for simply-connected symplectic 4-manifolds that takes into account the divisibility of the canonical class as an additional parameter. We also find new examples of 4-manifolds admitting several symplectic structures, inequivalent under deformation and self-diffeomorphisms of the manifold.

48 pages, 1 figure

References in corpus (2)

• A simply connected surface of general type with p_g=0 and K^2=2
• Minimality and irreducibility of symplectic four-manifolds

Cited by in corpus (1)

• Inequivalent contact structures on Boothby-Wang 5-manifolds