3 papers
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.SG2022
Contactomorphisms of the sphere without translated points
Dylan Cant
We construct a contactomorphism of the standard sphere which does not have any translated points, providing a negative answer to a conjecture posed by Sandon.
math.SG2021
Perturbed Holomorphic Cylinders, Exponential Estimates, and Flow Lines
Dylan Cant
A convergence result for perturbed holomorphic cylinders in is proved; a sequence of perturbed holomorphic cylinders converges to a configuration of two holomorph…