N. Martynchuk

activity

20162023

most citedExistence of a smooth Hamiltonian circle action near parabolic orbits

13 citations · 27 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.SG2023★ 1 cited

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.SG2023

On the symplectic geometry of $A_{k}$ singularities

Nikolay Martynchuk, San Vũ Ngoc

This paper presents a complete symplectic classification of $A_{k}$ Hamiltonians on $R^{2}$ , in the analytic and smooth categories. Precisely, consider the pair $(H, ω)$ consis…

math.SG2021

$C^{\infty}$ symplectic invariants of parabolic orbits and flaps in integrable Hamiltonian systems

Elena Kudryavtseva, Nikolay Martynchuk

In the present paper, we consider a smooth $C^{\infty}$ symplectic classification of Lagrangian fibrations near cusp singularities, parabolic orbits and cuspidal tori. We show that f…

Towards Hypersemitoric Systems

On the symplectic geometry of Ak​ singularities

C∞ symplectic invariants of parabolic orbits and flaps in integrable Hamiltonian systems

On the symplectic geometry of $A_{k}$ singularities

$C^{\infty}$ symplectic invariants of parabolic orbits and flaps in integrable Hamiltonian systems