H R Dullin et al 2005 J. Phys. A: Math. Gen. 38 L443 doi:10.1088/0305-4470/38/24/L02
Maslov indices and monodromy
FREE ARTICLEH R Dullin1, J M Robbins2, H Waalkens2, S C Creagh3 and G Tanner3
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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.
- PACS
- MSC
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15A18 Eigenvalues, singular values, and eigenvectors
37J05 General theory, relations with symplectic geometry and topology
- Subjects
- Dates
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Issue 24 (17 June 2005)
Received 22 April 2005
Published 1 June 2005
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Maslov indices and monodromy
H R Dullin et al 2005 J. Phys. A: Math. Gen. 38 L443
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