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Symplectic theory of completely integrable Hamiltonian systems (Q3097937)

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Language	Label	Description	Also known as
English	Symplectic theory of completely integrable Hamiltonian systems	scientific article

Statements

scholarly article

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Symplectic theory of completely integrable Hamiltonian systems (English)

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Bulletin of the American Mathematical Society

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publication date

10 November 2011

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full work available at URL

https://arxiv.org/abs/1306.0115

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zbMATH Keywords

symplectic manifold

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completely integrable Hamiltonian system

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MaRDI profile type

MaRDI publication profile

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On Poisson actions of compact Lie groups on symplectic manifolds

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Convexity and Commuting Hamiltonians

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The topology of torus actions on symplectic manifolds. Transl. from the French by the author

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Actions symplectiques de groupes compacts. (Symplectic actions of compact groups)

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The method of loop molecules and the topology of the Kovalevskaya top

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First Steps Towards a Symplectic Dynamics

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Symplectic invariants of some families of Lagrangian \(T^3\)-fibrations

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Lagrangian 3-torus fibrations

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Quasimodes and Bohr-Sommerfeld Conditions for the Toeplitz Operators

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Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. II. Le cas intégrable

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Le lemme de Morse isochore

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Singular Lagrangian manifolds and semiclassical analysis.

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Singular Bohr–Sommerfeld rules for 2D integrable systems

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Hamiltoniens périodiques et images convexes de l'application moment

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On global action-angle coordinates

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Symplectic torus actions with coisotropic principal orbits

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Reduced phase space and toric variety coordinatizations of Delzant spaces

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COMPLEX STRUCTURES ON FOUR-MANIFOLDS WITH SYMPLECTIC TWO-TORUS ACTIONS

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Topology of symplectic torus actions with symplectic orbits

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Vanishing twist near focus–focus points

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Symplectic invariants near hyperbolic-hyperbolic points

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Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case

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A convexity theorem for Poisson actions of compact Lie groups

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Fixed points and torsion on Kähler manifolds

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Hirzebruch genus of a manifold supporting a Hamiltonian circle action

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A rigidity theorem for Lagrangian deformations

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Convexity of multi-valued momentum maps

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Some remarks on symplectic actions of compact groups

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Mirror symmetry via logarithmic degeneration data. I

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Mirror symmetry via logarithmic degeneration data, II

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From real affine geometry to complex geometry

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Convexity properties of the moment mapping

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Typical integrable Hamiltonian systems on a four-dimensional symplectic manifold

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Periodic Hamiltonian flows on four-dimensional manifolds

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Convexity properties of the moment mapping. III

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Quantization and unitary representations

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Symplectically aspherical manifolds

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On the Structure of Compact Complex Analytic Surfaces, I

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Action-angle Coordinates for Integrable Systems on Poisson Manifolds

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Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $ \mathbb R^2$ in extended neighbourhoods of simple singular points. III. Realization

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Almost toric symplectic four-manifolds

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NON-KAHLER SYMPLECTIC MANIFOLDS WITH TORIC SYMMETRIES

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Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group

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Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems

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The moment map for circle actions on symplectic manifolds

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Fractional Hamiltonian monodromy

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A symplectic slice theorem.

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Momentum maps and Hamiltonian reduction

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Symplectic actions of 2-tori on 4-manifolds

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Fixed points of symplectic periodic flows

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Semitoric integrable systems on symplectic 4-manifolds

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Constructing integrable systems of semitoric type

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The geometry of nondegeneracy conditions in completely integrable systems

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Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung

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Monodromy, diabolic points, and angular momentum coupling

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Rigid and complete intersection Lagrangian singularities

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Quantification géométrique.

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Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman

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Accessible Sets, Orbits, and Foliations with Singularities

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Generalized symplectic rational blowdowns

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On semifree symplectic circle actions with isolated fixed points

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On the quantum expected values of integrable metric forms

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Riemannian manifolds with uniformly bounded eigenfunctions

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Sur Certains Systemes Dynamiques Separables

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On semi-global invariants for focus-focus singularities

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Moment polytopes for symplectic manifolds with monodromy

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On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems

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Kolmogorov condition for integrable systems with focus-focus singularities

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A note on degenerate corank-one singularities of integrable Hamiltonian systems

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Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems

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Convergence versus integrability in Birkhoff normal form

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Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions

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Identifiers

zbMATH Open document ID

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10.1090/S0273-0979-2011-01338-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3097937

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