4 papers · 2 filters
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…