An introduction to symplectic topology
Claude Viterbo (1991)
Journées équations aux dérivées partielles
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Claude Viterbo (1991)
Journées équations aux dérivées partielles
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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...
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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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.
Alfred Künzle (1997)
Banach Center Publications
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Symplectic capacities coinciding on convex sets in the standard symplectic vector space are extended to any subsets of symplectic manifolds. It is shown that, using embeddings of non-smooth convex sets and a product formula, calculations of some capacities become very simple. Moreover, it is proved that there exist such capacities which are distinct and that there are star-shaped domains diffeomorphic to the ball but not symplectomorphic to any convex set.
Etnyre, John B. (2004)
Algebraic & Geometric Topology
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Anatol Odzijewicz (1984)
Annales de l'I.H.P. Physique théorique
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