Symplectic Topology of Integrable Hamiltonian Systems, II: Topological Classification

By Nguyen Tien Zung. Compositio Mathematica, 2000

120 citations recorded by the source corpus.

The main purpose of this paper is to give a topological and symplectic classification of completely integrable Hamiltonian systems in terms of characteristic classes and other local and global invariants.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/77ece804834d83f396c02a1cfab23d1e1b2b16c3

How researchers see this paper

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In Geometry and Topology

1. A. Oshemkov
2. Alexey Bolsinov

In Statistical and Nonlinear Physics

1. A. Oshemkov
2. Alexey Bolsinov

Citations in the corpus

• Bi-Hamiltonian structures and singularities of integrable systems (2009, background): “It is a remarkable fact due to Nguyen Tien Zung [20, 22] that non-degenerate singularities admit a very simple topological description in terms of almost direct products.”