Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity
Volume 85 / 2009
Banach Center Publications 85 (2009), 43-57
MSC: 57R17, 57M27.
DOI: 10.4064/bc85-0-3
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 \cite{FV08a,FV08,FV07}. The results on surfaces of minimal complexity are new.
