Another note on focus-focus singularities
Dynamical Systems
2007-05-23 v3 Differential Geometry
Abstract
We show a natural relation between the monodromy formula for focus-focus singularities of integrable Hamiltonian systems and a formula of Duistermaat-Heckman, and extend the main results of our previous note on focus-focus singularities (-action, monodromy, and topological classification) to the degenerate case. We also consider the non-Hamiltonian case, local normal forms, etc.
Keywords
Cite
@article{arxiv.math/0110148,
title = {Another note on focus-focus singularities},
author = {Nguyen Tien Zung},
journal= {arXiv preprint arXiv:math/0110148},
year = {2007}
}
Comments
final version, to appear in Lett. Math. Phys