Semitoric systems of non-simple type
Abstract
Within integrable systems, the class of so called "semitoric" integrable systems in dimension four has attracted a lot of attention in recent years, especially since fundamental examples from classical and quantum mechanics have been identified as semitoric by different groups of researchers. Several of these examples, however, show a particular trait not included in the original theory, that is, the presence of multiple (i.e. two or more) rank zero isolated singularities in the same energy-momentum level sets. Systems with this property are called non-simple. This paper extends the original theory of Pelayo and V\~u Ngoc to non-simple systems.
Cite
@article{arxiv.1909.03501,
title = {Semitoric systems of non-simple type},
author = {Joseph Palmer and Álvaro Pelayo and Xiudi Tang},
journal= {arXiv preprint arXiv:1909.03501},
year = {2023}
}
Comments
33 pages, 8 figures. Main result unchanged. Presentation and motivation improved, some details of statements and proofs expanded and clarified