2 citations · 2 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
The chord conjecture for conormal bundles
Filip Broćić, Dylan Cant, Egor Shelukhin
We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof…
Bordism classes of loops and Floer's equation in cotangent bundles
Filip Broćić, Dylan Cant
For each representative of a bordism class in the free loop space of a manifold, we associate a moduli space of finite length Floer cylinders in the cotangent bundle…
Adiabatic compactness for holomorphic curves with boundary on nearby Lagrangians
Dylan Cant, Daren Chen
In his 1989 paper, Floer established a connection between holomorphic strips with boundary on a Lagrangian and a small Hamiltonian push-off , and gradient flow lines for…
Remarks on the oscillation energy of Legendrian isotopies
Dylan Cant
We construct non-compact contact manifolds containing compact Legendrians which can be displaced from their Reeb flow with arbitrarily small oscillation energy. We use this to show…