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Dive into the research topics where Egor Shelukhin is active.

Publication


Featured researches published by Egor Shelukhin.


Selecta Mathematica-new Series | 2016

Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules

Leonid Polterovich; Egor Shelukhin

We find robust obstructions to representing a Hamiltonian diffeomorphism as a full k-th power,


Communications in Contemporary Mathematics | 2018

On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

Michael Brandenbursky; Jarek Kędra; Egor Shelukhin


Geometry & Topology | 2017

The Lp–diameter of the group of area-preserving diffeomorphisms of S2

Michael Brandenbursky; Egor Shelukhin

k \ge 2


arXiv: Symplectic Geometry | 2015

Proof of the main conjecture on

François Lalonde; Egor Shelukhin


Mathematical Research Letters | 2015

g

Michael Brandenbursky; Egor Shelukhin

k≥2, and in particular, to including it into a one-parameter subgroup. The robustness is understood in the sense of Hofer’s metric. Our approach is based on the theory of persistence modules applied in the context of filtered Floer homology. We present applications to geometry and dynamics of Hamiltonian diffeomorphisms.


arXiv: Geometric Topology | 2013

-areas

Michael Brandenbursky; Egor Shelukhin

We prove that the autonomous norm on the group of Hamiltonian diffeomorphisms of the two-dimensional torus is unbounded. We provide explicit examples of Hamiltonian diffeomorphisms with arbitrarily large autonomous norm. For the proofs we construct quasimorphisms on


arXiv: Symplectic Geometry | 2017

On the

Leonid Polterovich; Egor Shelukhin; Vukašin Stojisavljević

Ham(T^2)


arXiv: Symplectic Geometry | 2015

L^p

Octav Cornea; Egor Shelukhin

and some of them are Calabi.


arXiv: Symplectic Geometry | 2018

-geometry of autonomous Hamiltonian diffeomorphisms of surfaces

Paul Biran; Octav Cornea; Egor Shelukhin

We show that for each


arXiv: Symplectic Geometry | 2018

On the large-scale geometry of the L^p-metric on the symplectomorphism group of the two-sphere

Egor Shelukhin; Dmitry Tonkonog; Renato Vianna

p \geq 1,

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Michael Brandenbursky

Ben-Gurion University of the Negev

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Octav Cornea

Université de Montréal

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