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math.SG2023
Towards Hypersemitoric Systems
Tobias Våge Henriksen, Sonja Hohloch, Nikolay N. Martynchuk
This survey gives a short and comprehensive introduction to a class of finite-dimensional integrable systems known as hypersemitoric systems, recently introduced by Hohloch and Pal…
math.SG2021
symplectic invariants of parabolic orbits and flaps in integrable Hamiltonian systems
Elena Kudryavtseva, Nikolay Martynchuk
In the present paper, we consider a smooth symplectic classification of Lagrangian fibrations near cusp singularities, parabolic orbits and cuspidal tori. We show that f…