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

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

2011-02-04

arxiv.org/abs/1102.0820v1

Mathematics

Geometric Topology

7 pages. To appear in Math. Res. Lett

Scientific paper

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of this paper partly overlaps with the content of the unpublished preprint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]).

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