2 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
A Curvature Flow and Applications to an Isoperimetric Inequality
Dylan Cant
Long time existence and convergence to a circle is proved for radial graph solutions to a mean curvature type curve flow in warped product surfaces (under a weak assumption on the…