13 citations · 27 across the 8 of their papers we have counts for
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math.DS2021★ 13 cited
Existence of a smooth Hamiltonian circle action near parabolic orbits
Elena Kudryavtseva, Nikolay Martynchuk
We show that every parabolic orbit of a two-degree of freedom integrable system admits a -smooth Hamiltonian circle action, which is persistent under small integrable $C^…
math.DS2019★ 1 cited
Topology change of levels sets in Morse theory
Andreas Knauf, Nikolay Martynchuk
Classical Morse theory proceeds by considering sublevel sets of a Morse function , where is a smooth finite-dimensional manifold. In this paper…