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

Stefan Friedl; Stefano Vidussi

Displaying similar documents to “Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity”

Correction to “Open books and configurations of symplectic surfaces”.

Gay, David T. (2003)

Algebraic & Geometric Topology

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Simply connected minimal symplectic 4-manifolds with signature less than −1

Anar Akhmedov, Scott Baldridge, R. İnanç Baykur, Paul Kirk, B. Doug Park (2010)

Journal of the European Mathematical Society

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Symplectic Topology and Extemal Rays.

Y. Ruan (1993)

Geometric and functional analysis

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Open books and configurations of symplectic surfaces.

Gay, David T. (2003)

Algebraic & Geometric Topology

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Geography of symplectic 4-manifolds with Kodaira dimension one.

Baldridge, Scott, Li, Tian-Jun (2005)

Algebraic & Geometric Topology

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On symplectic fillings.

Etnyre, John B. (2004)

Algebraic & Geometric Topology

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Fundamental group of $Symp (M, ω)$ with no circle action

Jarek Kędra (2009)

Archivum Mathematicum

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We show that $π_{1} (Symp (M, ω))$ can be nontrivial for $M$ that does not admit any symplectic circle action.

Symplectic Killing spinors

Svatopluk Krýsl (2012)

Commentationes Mathematicae Universitatis Carolinae

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Let $(M, ω)$ be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection $\nabla$ . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one...

Toric structures on near-symplectic 4-manifolds

David T. Gay, Margaret Symington (2009)

Journal of the European Mathematical Society

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A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on...