Egor Shelukhin
Université de Montréal
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Egor Shelukhin.
Selecta Mathematica-new Series | 2016
Leonid Polterovich; Egor Shelukhin
We find robust obstructions to representing a Hamiltonian diffeomorphism as a full k-th power,
Communications in Contemporary Mathematics | 2018
Michael Brandenbursky; Jarek Kędra; Egor Shelukhin
Geometry & Topology | 2017
Michael Brandenbursky; Egor Shelukhin
k \ge 2
arXiv: Symplectic Geometry | 2015
François Lalonde; Egor Shelukhin
Mathematical Research Letters | 2015
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
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
Leonid Polterovich; Egor Shelukhin; Vukašin Stojisavljević
Ham(T^2)
arXiv: Symplectic Geometry | 2015
Octav Cornea; Egor Shelukhin
and some of them are Calabi.
arXiv: Symplectic Geometry | 2018
Paul Biran; Octav Cornea; Egor Shelukhin
We show that for each
arXiv: Symplectic Geometry | 2018
Egor Shelukhin; Dmitry Tonkonog; Renato Vianna
p \geq 1,