Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity

Details Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity

2008-06-12

arxiv.org/abs/0806.2164v1

Mathematics

Geometric Topology

These are the expanded notes of the talk given by the first author at the Postnikov memorial conference at Bedlewo, Poland in

Scientific paper

Let M be a 4-manifold which admits a free circle action. We use twisted
Alexander polynomials to study the existence of symplectic structures and the
minimal complexity of surfaces in M. The results on the existence of symplectic
structures summarize previous results of the authors in [FV08a,FV08,FV07]. The
results on surfaces of minimal complexity are new.

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