Faithful Semitoric Systems
Symplectic Geometry
2018-08-17 v3 Dynamical Systems
Exactly Solvable and Integrable Systems
Abstract
This paper consists of two parts. The first provides a review of the basic properties of integrable and almost-toric systems, with a particular emphasis on the integral affine structure associated to an integrable system. The second part introduces faithful semitoric systems, a generalization of semitoric systems (introduced by Vu Ngoc and classified by Pelayo and Vu Ngoc) that provides the language to develop surgeries on almost-toric systems in dimension 4. We prove that faithful semitoric systems are natural building blocks of almost-toric systems. Moreover, we show that they enjoy many of the properties that their (proper) semitoric counterparts do.
Cite
@article{arxiv.1706.09935,
title = {Faithful Semitoric Systems},
author = {Sonja Hohloch and Silvia Sabatini and Daniele Sepe and Margaret Symington},
journal= {arXiv preprint arXiv:1706.09935},
year = {2018}
}