From the 1 of 8 linked papers with an AI index.
8 papers
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
The paper proves new results about periodic points of Hamiltonian diffeomorphisms on closed symplectic manifolds, linking properties like pseudo‑rotations and symplectically degene…
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 proba…
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…
Weinstein exactness of nearby Lagrangians and related questions
Marcelo S. Atallah, Jean-Philippe Chassé, Rémi Leclercq +1
We address the following problem: if a Hamiltonian diffeomorphism maps a Lagrangian submanifold to a small Weinstein neighborhood of , is the image necessarily Hamiltonian i…