45 citations · 82 across the 34 of their papers we have counts for
44 papers
A proof of the Arnold-Givental conjecture
Shaoyun Bai, Egor Shelukhin, Yi Wang +1
We prove the Arnold-Givental conjecture in full generality: given a closed symplectic manifold , an anti-symplectic involution with fixed point set $L={\rm F…
On orderability and the chord conjecture
Egor Shelukhin
We prove Arnol'd's chord conjecture for a large new class of contact manifolds: for every contact form and every closed Legendrian submanifold there exists a non-constant Reeb chor…
Resonances and string point invertibility for compact rank one symmetric spaces
Kai Cieliebak, Alexandru Oancea, Egor Shelukhin
We calculate the Batalin-Vilkovisky (BV) algebra structure of Rabinowitz loop homology for compact rank one symmetric spaces. As a consequence, we prove that such a space satisfies…
Quantum Steenrod powers and Hamiltonian maps
Shaoyun Bai, Egor Shelukhin, Nicholas Wilkins +1
We prove a series of new results in Hamiltonian dynamics on a general closed symplectic manifold , including: 1. If admits a Hamiltonian diffeomorphism which is either…
On quasimorphisms and distortion in homeomorphism groups
Michael Brandenbursky, Jarek Kedra, Michal Marcinkowski +1
Let be a smooth compact oriented connected manifold, and the group of homeomorphisms of supported away from which preserve a Borel probab…
The -diameter of the space of contractible loops
Michael Brandenbursky, Egor Shelukhin
We prove that the space of contractible simple loops of a given fixed area in any compact oriented surface has infinite diameter as a homogeneous space of the group of area-preserv…