English

Monodromy of Complexified Planar Kepler Problem

Mathematical Physics 2022-09-02 v1 Dynamical Systems math.MP Symplectic Geometry

Abstract

The planar Kepler problem is complexified and we show that this holomorphic completely integrable Hamiltonian system has nontrivial monodromy.

Keywords

Cite

@article{arxiv.2209.00146,
  title  = {Monodromy of Complexified Planar Kepler Problem},
  author = {Shanzhong Sun and Peng You},
  journal= {arXiv preprint arXiv:2209.00146},
  year   = {2022}
}

Comments

12 pages, 3 figures. The Chinese version has appeared in SCIENTIA SINICA Mathematica

R2 v1 2026-06-28T00:31:46.403Z