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math.SG2023
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…
math.SG2023
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…
math.SG2023
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…