Maslov Indices and Monodromy
Mathematical Physics
2007-05-23 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.math-ph/0504063,
title = {Maslov Indices and Monodromy},
author = {HR Dullin and JM Robbins and H Waalkens and SC Creagh and G Tanner},
journal= {arXiv preprint arXiv:math-ph/0504063},
year = {2007}
}
Comments
6 pages