4 citations · 8 across the 3 of their papers we have counts for
11 papers · 1 filter
Hamiltonian no-torsion
Marcelo S. Atallah, Egor Shelukhin
In 2002 Polterovich has notably established that on closed aspherical symplectic manifolds, Hamiltonian diffeomorphisms of finite order, which we call Hamiltonian torsion, must in…
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…