On symplectic fillings.
Etnyre, John B. (2004)
Algebraic & Geometric Topology
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Etnyre, John B. (2004)
Algebraic & Geometric Topology
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Baldridge, Scott, Li, Tian-Jun (2005)
Algebraic & Geometric Topology
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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.
Anatol Odzijewicz (1984)
Annales de l'I.H.P. Physique théorique
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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.
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.
L. Polterovich (1996)
Geometric and functional analysis
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Svatopluk Krýsl (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . 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...