INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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

Stefan Friedl¹, Stefano Vidussi²
Banach Center Publ. 85 (2009), 43-57
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.

MSC (2010): 57R17, 57M27.
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1. Université du Québec à Montréal
   Montréal, Québec, Canada
   and
   University of Warwick
   Coventry, UK
   
2. Department of Mathematics
   University of California
   Riverside, CA 92521, USA
   

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