Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894629 | Journal of Geometry and Physics | 2015 | 12 Pages |
Abstract
The presence of focus-focus singularities in semi-toric integrables Hamiltonian systems is one of the reasons why there cannot exist global Action-Angle coordinates on such systems. At focus-focus critical points, the Liouville-Arnold-Mineur theorem does not apply. In particular, the affine structure of the image of the moment map around has non-trivial monodromy. In this article, we establish that the singular behavior and the multi-valuedness of the Action integrals is given by a complex logarithm. This extends a previous result by San VÅ© Ngá»c to any dimension. We also calculate the monodromy matrix for these systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Christophe Wacheux,