E. Kudryavtseva

activity

20092025

most citedOn the homotopy type of the spaces of Morse functions on surfaces

29 citations · 231 across the 24 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

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…

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 $C^{\infty}$ -smooth Hamiltonian circle action, which is persistent under small integrable $C^…

math.GT2021

Topology of spaces of smooth functions and gradient-like flows with prescribed singularities on surfaces

Elena A. Kudryavtseva

By a gradient-like flow on a closed orientable surface $M$ , we mean a closed 1-form $β$ defined on $M$ punctured at a finite set of points (sources and sinks of $β$ ) such that ther…

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

Existence of a smooth Hamiltonian circle action near parabolic orbits

Topology of spaces of smooth functions and gradient-like flows with prescribed singularities on surfaces

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