Hamiltonian monodromy via Picard-Lefschetz theory

DOI10.1007/s00220-002-0694-3zbMath1073.37067OpenAlexW149502686MaRDI QIDQ1849419

Michèle Audin

Publication date: 1 December 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-002-0694-3

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Topology of real algebraic varieties (14P25) Algebraic geometry methods for problems in mechanics (70G55)

Related Items (11)

Nekhoroshev's approach to Hamiltonian monodromy ⋮ Algebraic geometry and stability for integrable systems ⋮ Monodromy of Hamiltonian systems with complexity 1 torus actions ⋮ Classical Bethe ansatz and normal forms in an integrable version of the Dicke model ⋮ Hamiltonian Monodromy via spectral Lax pairs ⋮ Recent advances in the monodromy theory of integrable Hamiltonian systems ⋮ Higher index focus-focus singularities in the Jaynes-Cummings-Gaudin model: symplectic invariants and monodromy ⋮ Hamiltonian monodromy via geometric quantization and theta functions ⋮ Fractional Hamiltonian monodromy from a Gauss–Manin monodromy ⋮ Torus actions and generalized Jacobians ⋮ Abelian Integrals: From the Tangential 16th Hilbert Problem to the Spherical Pendulum

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