7 papers
On the spectral diameter of the Grassmannians
Habib Alizadeh, Marcelo S. Atallah, Dylan Cant +1
The diameter of the spectral pseudometric on the universal cover of the Hamiltonian diffeomorphism group of is shown to be finite whenever is a prime number.…
Remarks on eternal classes in symplectic cohomology
Dylan Cant
This paper studies special classes in the symplectic cohomology of a semipositive and convex-at-infinity symplectic manifold . The classes under consideration lie in the image o…
On the rigidity of translated points
Dylan Cant, Jakob Hedicke
We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelu…
The spectral diameter of a symplectic ellipsoid
Habib Alizadeh, Marcelo S. Atallah, Dylan Cant
The spectral diameter of a symplectic ball is shown to be equal to its capacity; this result upgrades the known bound by a factor of two and yields a simple formula for the spectra…
Selective Floer cohomology for contact vector fields
Dylan Cant, Igor Uljarević
This paper associates a persistence module to a contact vector field on the ideal boundary of a Liouville manifold. The persistence module measures the dynamics of on the r…
Lagrangian Intersections and the spectral norm in convex-at-infinity symplectic manifolds
Habib Alizadeh, Marcelo S. Atallah, Dylan Cant
Given a compact Lagrangian in a semipositive convex-at-infinity symplectic manifold , we establish a cup-length estimate for the action values of associated to a Hamilto…
Extensible positive loops and vanishing of symplectic cohomology
Dylan Cant, Jakob Hedicke, Eric Kilgore
The symplectic cohomology of certain symplectic manifolds with non-compact ends modelled on the positive symplectization of a compact contact manifold is shown to vanish wh…