Sign of the Monodromy for Liouville Integrable Systems

被引:0
作者
R. Cushman
Vu Ngoc San
机构
[1] Mathematics Institute,
[2] University of Utrecht,undefined
[3] 3508TA Utrecht,undefined
[4] The Netherlands,undefined
[5] ¶ e-mail: cushman@math.uu.nl,undefined
[6] Institut Fourier,undefined
[7] Université Joseph Fourier,undefined
[8] BP 74,undefined
[9] 38402-Saint Martin d‚Hères Cedex,undefined
[10] France,undefined
[11] ¶ e-mail: svungoc@ujf-grenoble.fr,undefined
来源
Annales Henri Poincaré | 2002年 / 3卷
关键词
Integrable System; Hamiltonian System; Integrable Hamiltonian System; Universal Sign; Liouville Integrable;
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学科分类号
摘要
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 S1 symmetry.
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页码:883 / 894
页数:11
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