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Article Dans Une Revue Letters in Mathematical Physics Année : 2002

Another note on focus-focus singularities

Résumé

We show a natural relation between the monodromy formula for focus-focus singularities of integrable Hamiltonian systems and a formula of Duistermaat-Heckman, and extend the main results of our previous note on focus-focus singularities ($\\bbS^1$-action, monodromy, and topological classification) to the degenerate case. We also consider the non-Hamiltonian case, local normal forms, etc.

Dates et versions

hal-00007747 , version 1 (01-08-2005)

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Nguyen Tien Zung. Another note on focus-focus singularities. Letters in Mathematical Physics, 2002, 60, pp.87-99. ⟨10.1023/A:1015761729603⟩. ⟨hal-00007747⟩
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