Displaying similar documents to “Algebraic Surfaces and Their Moduli Spaces: Real, Differentiable and Symplectic Structures”

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

Stefan Friedl, Stefano Vidussi (2009)

Banach Center Publications

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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.

On the number of components of the symplectic representatives of the canonical class

Stefano Vidussi (2007)

Journal of the European Mathematical Society

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We show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincaré dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.

The geography of simply-connected symplectic manifolds

Mi Sung Cho, Yong Seung Cho (2003)

Czechoslovak Mathematical Journal

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By using the Seiberg-Witten invariant we show that the region under the Noether line in the lattice domain ℤ × ℤ is covered by minimal, simply connected, symplectic 4-manifolds.