Fibrations in symplectic topology.
McDuff, Dusa (1998)
Documenta Mathematica
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McDuff, Dusa (1998)
Documenta Mathematica
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H. Hofer, I. Ekeland (1988/89)
Mathematische Zeitschrift
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Helmut Hofer, Ivar Ekeland (1990)
Mathematische Zeitschrift
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Alfred Künzle (1996)
Banach Center Publications
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The purpose of this paper is to develop the basics of a theory of Hamiltonian systems with non-differentiable Hamilton functions which have become important in symplectic topology. A characteristic differential inclusion is introduced and its equivalence to Hamiltonian inclusions for certain convex Hamiltonians is established. We give two counterexamples showing that basic properties of smooth systems are violated for non-smooth quasiconvex submersions, e.g. even the energy conservation...
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Kuksin, Sergei B. (1998)
Documenta Mathematica
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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...
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.
Misha Bialy, Leonid Polterovich (1992)
Mathematische Annalen
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Robert McLachlan (1993/94)
Numerische Mathematik
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Polterovich, Leonid (1998)
Documenta Mathematica
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