13 citations · 27 across the 8 of their papers we have counts for
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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…
math-ph2019★ 7 cited
Hamiltonian monodromy and Morse theory
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the sys…