Constructing integrable systems of semitoric type
From MaRDI portal
Publication:536617
DOI10.1007/s11511-011-0060-4zbMath1225.53074arXiv0903.3376OpenAlexW2103315524MaRDI QIDQ536617
Publication date: 19 May 2011
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.3376
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Global theory of symplectic and contact manifolds (53D35)
Related Items (38)
Generating hyperbolic singularities in semitoric systems via Hopf bifurcations ⋮ Semiclassical quantization and spectral limits of ħ-pseudodifferential and Berezin-Toeplitz operators ⋮ Moduli spaces of semitoric systems ⋮ Faithful semitoric systems ⋮ Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Packing densities of Delzant and semitoric polygons ⋮ Asymptotics of action variables near semi-toric singularities ⋮ Taylor series and twisting-index invariants of coupled spin-oscillators ⋮ Symplectic geometry and spectral properties of classical and quantum coupled angular momenta ⋮ Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems ⋮ Constructions of b-semitoric systems ⋮ Vũ Ngọc's conjecture on focus-focus singular fibers with multiple pinched points ⋮ The affine invariant of proper semitoric integrable systems ⋮ Topology of symplectic torus actions with symplectic orbits ⋮ Hamiltonian and symplectic symmetries: An introduction ⋮ Integrable systems and group actions ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Characterization of toric systems via transport costs ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid ⋮ Hamiltonian dynamics and spectral theory for SPIN-oscillators ⋮ From compact semi-toric systems to Hamiltonian \(S^1\)-spaces ⋮ A family of compact semitoric systems with two focus-focus singularities ⋮ Classifying toric and semitoric fans by lifting equations from \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Integrable systems, symmetries, and quantization ⋮ Minimal models of compact symplectic semitoric manifolds ⋮ Moduli spaces of toric manifolds ⋮ Semiclassical inverse spectral theory for singularities of focus-focus type ⋮ A univalent formalization of the p-adic numbers ⋮ The height invariant of a four-parameter semitoric system with two focus-focus singularities ⋮ Symplectic classification of coupled angular momenta ⋮ A family of semitoric systems with four focus-focus singularities and two double pinched tori ⋮ Geometry of nondegenerate \({\mathbb R}^n\)-actions on \(n\)-manifolds ⋮ Geometric quantization via cotangent models ⋮ Symplectic theory of completely integrable Hamiltonian systems ⋮ Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems ⋮ Spectral invariants for coupled spin-oscillators ⋮ Inverse spectral theory for semiclassical Jaynes-Cummings systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semitoric integrable systems on symplectic 4-manifolds
- Moment polytopes for symplectic manifolds with monodromy
- Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
- Almost toric symplectic four-manifolds
- Convexity properties of the moment mapping
- On semi-global invariants for focus-focus singularities
- Mirror symmetry via logarithmic degeneration data. I
- Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems
- Hamiltoniens périodiques et images convexes de l'application moment
- Convexity and Commuting Hamiltonians
- Lectures on Polytopes
- Mirror symmetry via logarithmic degeneration data, II
This page was built for publication: Constructing integrable systems of semitoric type