The geography of symplectic 4-manifolds with divisible canonical class

Mark J. D. Hamilton

Vol. 244 (2010), No. 1, 37–84

DOI: 10.2140/pjm.2010.244.37

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.

Keywords

geography, symplectic, canonical class

Mathematical Subject Classification 2000

Primary: 14J29, 57N13, 57R17

Milestones

Received: 29 January 2009

Accepted: 22 June 2009

Published: 17 November 2009