Displaying similar documents to “Symplectic Topology and Extemal Rays.”

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.

Algebraic Surfaces and Their Moduli Spaces: Real, Differentiable and Symplectic Structures

Fabrizio Catanese (2009)

Bollettino dell'Unione Matematica Italiana

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The theory of algebraic surfaces, according to Federigo Enriques, revealed `riposte armonie' (hidden harmonies) who the mathematicians to undertook their investigation. Purpose of this article is to show that this holds still nowadays; and point out, while reviewing recent progress and unexpected new results, the many faceted connections of the theory, among others, with algebra (Galois group of the rational numbers), with real geometry, and with differential and symplectic topology...

Symplectic embedding of thin discs into a ball

Takeo Nishinou (2004)

Mathematica Bohemica

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We perform symplectic embeddings of ‘thin’ discs into a small ball in arbitrary dimension, using the symplectic folding construction.