Another note on focus-focus singularities

Details Another note on focus-focus singularities Another note on focus-focus singularities

2001-10-14

arxiv.org/abs/math/0110148v3

Mathematics

Dynamical Systems

final version, to appear in Lett. Math. Phys

Scientific paper

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.

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