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arXiv · 2308.16346

Recent examples of hypersemitoric systems and first steps towards a classification: a brief survey

Yannick Gullentops·Sonja Hohloch
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Abstract

Hypersemitoric systems are 2-degree-of-freedom integrable systems on 4-dimensional manifolds that have an underlying $S^1$-symmetry and no degenerate singularities apart from maybe a finite number of families of so-called parabolic singularities. We give a short overview of recent examples displaying various bifurcations and sketch a topological-combinatorial classification of the connected components of fibers of hypersemitoric systems.

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Yannick Gullentops, Sonja Hohloch. 2023-08-30. Recent examples of hypersemitoric systems and first steps towards a classification: a brief survey. https://arxiv.org/abs/2308.16346

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