On the affine invariant of simple hypersemitoric systems
Symplectic Geometry
2026-04-13 v2 Dynamical Systems
Exactly Solvable and Integrable Systems
Abstract
Hypersemitoric systems are a class of integrable systems on -dimensional symplectic manifolds which only have mildly degenerate singularities and where one of the integrals induces an effective Hamiltonian -action and is proper. We introduce the affine invariant of hypersemitoric systems, which is a generalization of the Delzant polytope of toric systems and the polytope invariant of semitoric systems. Along the way, we compute and plot this invariant for meaningful and more and more complicated examples.
Keywords
Cite
@article{arxiv.2411.17509,
title = {On the affine invariant of simple hypersemitoric systems},
author = {Konstantinos Efstathiou and Sonja Hohloch and Pedro Santos},
journal= {arXiv preprint arXiv:2411.17509},
year = {2026}
}
Comments
76 pages, 28 figures