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arxiv: math/0407455 · v1 · submitted 2004-07-27 · 🧮 math.DS · math-ph· math.MP

Torus Actions and Integrable Systems

Nguyen Tien Zung This is my paper
classification 🧮 math.DS math-phmath.MP
keywords integrableactionslocalsystemstorusaffineariseconvexity
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This is a survey on natural local torus actions which arise in integrable dynamical systems, and their relations with other subjects, including: reduced integrability, local normal forms, affine structures, monodromy, global invariants, integrable surgery, convexity properties of momentum maps, localization formulas, integrable PDEs.

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  1. Integrable systems from Poisson reductions of generalized Hamiltonian torus actions

    math-ph 2025-07 unverdicted novelty 6.0

    Develops sufficient conditions for Poisson reduction of generalized Hamiltonian torus actions to preserve integrability and applies them to open problems on Lie group doubles and flat-connection moduli spaces.