English

Geometric scattering monodromy

Symplectic Geometry 2022-10-05 v2

Abstract

In this paper we give geometric conditions so that the integral mapping of a Liouville integrable Hamiltonian system with a focus-focus equilibrium point has scattering monodromy. Using a complex version of the Morse lemma, we show that scattering monodromy is the same as the scattering monodromy of the standard focus-focus system.

Keywords

Cite

@article{arxiv.2209.09854,
  title  = {Geometric scattering monodromy},
  author = {Richard Cushman},
  journal= {arXiv preprint arXiv:2209.09854},
  year   = {2022}
}
R2 v1 2026-06-28T01:45:24.567Z