Abstract.
In this note we show that the monodromy of a two degree of freedom integrable Hamiltonian system has a universal sign in the case of a focus-focus singularity. We also show how to extend the monodromy index to several focus-focus fibers when the integrable system has an S 1 symmetry.
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Submitted 27/12/01, accepted 24/05/02
RID="h1"
ID="h1"Communicated by Eduard Zehnder
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Cushman, R., Ngoc San, V. Sign of the Monodromy for Liouville Integrable Systems. Ann. Henri Poincaré 3, 883–894 (2002). https://doi.org/10.1007/s00023-002-8640-7
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DOI: https://doi.org/10.1007/s00023-002-8640-7