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arxiv: math/0110147 · v1 · submitted 2001-10-14 · 🧮 math.DS · math.DG

A note on focus-focus singularities

classification 🧮 math.DS math.DG
keywords singularitiesfocus-focussystemsaroundbeforeconcretedescriptionduistermaat
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We give a topological and geometrical description of focus-focus singularities of integrable Hamiltonian systems. In particular, we explain why the monodromy around these singularities is non-trivial, a result obtained before by J.J. Duistermaat and others for some concrete systems.

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