Symplectic 4--manifolds with K = 0 and the Lubotzky alternative

Abstract

In this paper we use the Lubotzky alternative for finitely generated linear groups to determine which 4-manifolds admitting a free circle action can be endowed with a symplectic structure with trivial canonical class. The content of this paper partly overlaps with the content of the unpublished preprint "Symplectic 4-manifolds with a free circle action" (arXiv:0801.1313 [math.GT]).

arXiv comment7 pages. To appear in Math. Res. Lett

References in corpus (1)

• On the asphericity of a symplectic M3 x S1

Cited by in corpus (2)

• Kodaira Dimension in Low Dimensional Topology
• Seiberg-Witten Invariants, Alexander Polynomials, and Fibred Classes