Singular fibres of the Gelfand–Cetlin system on MANI( n )*

DOI10.1098/rsta.2017.0423zbMath1407.53088arXiv1803.08332OpenAlexW3123919135WikidataQ91493128 ScholiaQ91493128MaRDI QIDQ4626209

Damien Bouloc, Nguyen Tien Zung, Eva Miranda

Publication date: 27 February 2019

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08332

zbMATH Keywords

singularitiesintegrable systemsHamiltonian systemsGelfand-Cetlin systemsLagrangian fibres

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lagrangian submanifolds; Maslov index (53D12)

Related Items

Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems, Immersed two-spheres and SYZ with application to Grassmannians, Lagrangian fibers of Gelfand-Cetlin systems of \(\mathrm{SO}(n)\)-type, Unnamed Item, Open problems, questions and challenges in finite- dimensional integrable systems, Local normal forms for multiplicity free \(U(n)\) actions on coadjoint orbits, Lax formalism for Gelfand-Tsetlin integrable systems, \(W\)-translated Schubert divisors and transversal intersections

Cites Work

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• The symplectic geometry of polygons in Euclidean space
• Ginzburg-Weinstein via Gelfand-Zeitlin
• Integrable systems, toric degenerations and Okounkov bodies
• Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
• Toric degenerations of Gelfand-Cetlin systems and potential functions
• The Gelfand-Cetlin system and quantization of the complex flag manifolds
• Actions toriques et groupes d'automorphismes de singularités des systèmes dynamiques intégrables. (Torus actions and automorphism groups of singularities of integrable dynamical systems)
• A note on degenerate corank-one singularities of integrable Hamiltonian systems
• Singular fibers of the bending flows on the moduli space of 3D polygons
• Integrable systems and group actions
• Lectures on stratification of complex analytic sets
• Geometry of Integrable non-Hamiltonian Systems
• Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems
• Hamiltoniens périodiques et images convexes de l'application moment
• Integrable geodesic flows on homogeneous spaces
• A convexity theorem for Poisson actions of compact Lie groups
• On collective complete integrability according to the method of Thimm
• Toric degenerations of integrable systems on Grassmannians and polygon spaces