Isotopy of sympletic balls, Gromov' s radius and the structure of ruled symplectic 4-manifolds.
Francois Lalonde (1994)
Mathematische Annalen
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Francois Lalonde (1994)
Mathematische Annalen
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Viktor L. Ginzburg (1992)
Mathematische Zeitschrift
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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...
Baldridge, Scott, Li, Tian-Jun (2005)
Algebraic & Geometric Topology
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Jarek Kędra (2009)
Archivum Mathematicum
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We show that can be nontrivial for that does not admit any symplectic circle action.
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.
J. Kurek, W. M. Mikulski (2003)
Annales Polonici Mathematici
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We describe all natural symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds.
Francois Lalonde (1989)
Mathematische Annalen
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Christopher Allday (1998)
Banach Center Publications
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Dusa McDuff (1991)
Inventiones mathematicae
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Anatol Odzijewicz (1984)
Annales de l'I.H.P. Physique théorique
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