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arxiv: math-ph/0504063 · v2 · submitted 2005-04-20 · 🧮 math-ph · math.MP· nlin.SI

Maslov Indices and Monodromy

classification 🧮 math-ph math.MPnlin.SI
keywords monodromyindicesmaslovmatrixbundlecorollarycotangentderived
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We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix with eigenvalue 1. As a corollary the resulting restrictions on the monodromy matrix are derived.

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