3 papers
math.SG2026
On the affine invariant of simple hypersemitoric systems
Konstantinos Efstathiou, Sonja Hohloch, Pedro Santos
Hypersemitoric systems are a class of integrable systems on -dimensional symplectic manifolds which only have mildly degenerate singularities and where one of the integrals indu…
math.DS2026
Double flip bifurcations in -symmetric Hamiltonian systems
Konstantinos Efstathiou, Tobias VÃ¥ge Henriksen, Sonja Hohloch
In this paper we introduce a new bifurcation in Hamiltonian systems, which we call the double flip bifurcation. The Hamiltonian depends on two parameters, one of which controls the…
math.SG2025
(Non)displaceability in semitoric systems
Sonja Hohloch, Pedro Santos
We adapt and generalize McDuff's method of probes from toric system to so called semitoric integrable systems and apply it to study the (non)displaceability properties of the fiber…