Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities

Nguyen Tien Zung

Displaying similar documents to “Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities”

Equivariant normal form for nondegenerate singular orbits of integrable hamiltonian systems

Eva Miranda, Nguyen Tien Zung (2004)

Annales scientifiques de l'École Normale Supérieure

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Integrable systems and group actions

Eva Miranda (2014)

Open Mathematics

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The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.

Geometry and representation of the singular symplectic forms

Wojciech Domitrz, Stanisław Janeczko, Zbigniew Pasternak-Winiarski (2003)

Banach Center Publications

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In this paper we show to what extent the closed, singular 2-forms are represented, up to the smooth equivalence, by their restrictions to the corresponding singularity set. In the normalization procedure of the singularity set we find the sufficient conditions for the given closed 2-form to be a pullback of the classical Darboux form. We also find the classification list of simple singularities of the maximal isotropic submanifold-germs in the codimension one Martinet's singular symplectic...

Orbit Structure of certain $ℝ^{2}$ -actions on solid torus

C. Maquera, L. F. Martins (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper we describe the orbit structure of $C^{2}$ -actions of $ℝ^{2}$ on the solid torus $S^{1} \times D^{2}$ having $S^{1} \times {0}$ and $S^{1} \times \partial D^{2}$ as the only compact orbits, and $S^{1} \times {0}$ as singular set.

Geometric quantization of integrable systems with hyperbolic singularities

Mark D. Hamilton, Eva Miranda (2010)

Annales de l’institut Fourier

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We construct the geometric quantization of a compact surface using a singular real polarization coming from an integrable system. Such a polarization always has singularities, which we assume to be of nondegenerate type. In particular, we compute the effect of hyperbolic singularities, which make an infinite-dimensional contribution to the quantization, thus showing that this quantization depends strongly on polarization.

Generic orbits of the diffeomorphism group of a two-manifold in the space $𝔊_{reg}^{*}$ of regular momenta

Golenistcheva-Kutuzova, M. I.

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A classification of the topological types of $𝐑^{2}$ -actions on closed orientable 3-manifolds

Gilles Chatelet, Harold Rosenberg, Daniel Weil (1974)

Publications Mathématiques de l'IHÉS

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Displaying similar documents to “Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities”

Equivariant normal form for nondegenerate singular orbits of integrable hamiltonian systems

Integrable systems and group actions

Geometry and representation of the singular symplectic forms

Orbit Structure of certain ℝ 2 -actions on solid torus

Geometric quantization of integrable systems with hyperbolic singularities

Generic orbits of the diffeomorphism group of a two-manifold in the space 𝔊 reg * of regular momenta

A classification of the topological types of 𝐑 2 -actions on closed orientable 3-manifolds

Orbit Structure of certain $ℝ^{2}$ -actions on solid torus

Generic orbits of the diffeomorphism group of a two-manifold in the space $𝔊_{reg}^{*}$ of regular momenta

A classification of the topological types of $𝐑^{2}$ -actions on closed orientable 3-manifolds