Egor Shelukhin

collaborators

4 papers

math.DG2023

Remark on non-contractible closed geodesics and homotopy groups

Egor Shelukhin, Jun Zhang

We prove that if the $m$ -th homotopy group for $m \geq 2$ of a closed manifold has non-trivial invariants or coinvariants under the action of the fundamental group, then there exis…

math.SG2014

Enlacements asymptotiques revisités

Egor Shelukhin

We give an alternative proof of a theorem of Gambaudo-Ghys and Fathi on the interpretation of the Calabi homomorphism for the standard symplectic disc as an average rotation number…

math.SG2014

Proof of the main conjecture on g-areas

François Lalonde, Egor Shelukhin

In this paper, we prove the main conjecture on $g$ -areas that was announced by the first author in 2004. It states that the $g$ -area of any Hamiltonian diffeomorphism $ϕ$ is equal…

math.SG2014

On the $L^{p}$ -geometry of autonomous Hamiltonian diffeomorphisms of surfaces

Michael Brandenbursky, Egor Shelukhin

We prove a number of results on the interrelation between the $L^{p}$ -metric on the group of Hamiltonian diffeomorphisms of surfaces and the subset of all autonomous Hamiltonian diff…

Remark on non-contractible closed geodesics and homotopy groups

Enlacements asymptotiques revisités

Proof of the main conjecture on g-areas

On the Lp-geometry of autonomous Hamiltonian diffeomorphisms of surfaces

On the $L^{p}$ -geometry of autonomous Hamiltonian diffeomorphisms of surfaces