4 papers
Equivariant Lagrangian displacements
Dylan Cant, Julio Sampietro Christ
This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map. The…
Parametric Gromov width of Liouville domains
Filip Broćić, Dylan Cant
The classical Gromov width measures the largest symplectic ball embeddable into a symplectic manifold; inspired by the symplectic camel problem, we generalize this to ask how large…
On the spectral capacity of submanifolds
Dylan Cant, Jun Zhang
The infimum of the spectral capacities of neighbourhoods of a nowhere coisotropic submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian submanifold, a…
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…