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

Stefan Friedl; Stefano Vidussi

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arXiv · 0806.2164

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

Stefan Friedl·Stefano Vidussi

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Abstract

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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Stefan Friedl, Stefano Vidussi. 2008-06-12. Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity. https://arxiv.org/abs/0806.2164

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