4 citations · 8 across the 3 of their papers we have counts for
6 papers · 1 filter
On the entropy norm on
Michael Brandenbursky, Egor Shelukhin
In this note we prove that for each positive integer there exists a bi-Lipschitz embedding , where is equipped with the entropy metric. In particula…
Pseudo-rotations and Steenrod squares revisited
Egor Shelukhin
In this note we prove that if a closed monotone symplectic manifold admits a Hamiltonian pseudo-rotation, which may be degenerate, then the quantum Steenrod square of the cohomolog…
Pseudo-rotations and Steenrod squares
Egor Shelukhin
In this note we prove that if a closed monotone symplectic manifold of dimension satisfying a homological condition that holds in particular when the minimal Chern number…
On the Hofer-Zehnder conjecture
Egor Shelukhin
We prove that if a Hamiltonian diffeomorphism of a closed monotone symplectic manifold with semisimple quantum homology has more contractible fixed points, counted homologically, t…
The -equivariant product-isomorphism in fixed point Floer cohomology
Egor Shelukhin, Jingyu Zhao
Let be a prime, and be the field with elements. Extending a result of Seidel for we construct an isomorphism between the Floer cohomology of an…
Symplectic cohomology and a conjecture of Viterbo
Egor Shelukhin
We identify a new class of closed smooth manifolds for which there exists a uniform bound on the Lagrangian spectral norm of Hamiltonian deformations of the zero section in a unit…