Dylan Cant

collaborators

4 papers

math.SG2026

Lengths of Reeb chords and Viterbo restriction

Filip BroÄiÄ, Dylan Cant

Let $I^$ be a Legendrian in the contact boundary of a Liouville domain $I^c ◯$ . We explain how the non-existence of Reeb chords with endpoints on $I^$ of length up to $a$ enables one…

math.SG2026

The strong Arnol'd chord conjecture for the boundary of a uniformly convex domain in $R^{4}$

Dylan Cant

Following the idea of Jungsoo Kang and Jun Zhang, we prove the strong Arnol'd chord conjecture for the boundary of a uniformly convex domain in $R^{4}$ , using an ellipsoid…

math.SG2026

Equivariant Floer cohomology for contactomorphisms of quotient spaces

Dylan Cant, Eric Kilgore, Jun Zhang

This paper establishes the orderability of contact manifolds which are quotients of fillable contact manifolds under finite group actions compatible with the filling, the prototypi…

math.SG2025

Hamiltonian linking and Symplectic packing

Dylan Cant

In this short note, we make an observation relating symplectic packings of the standard symplectic ball by two sets and Hamiltonian linking.

Lengths of Reeb chords and Viterbo restriction

The strong Arnol'd chord conjecture for the boundary of a uniformly convex domain in R4

Equivariant Floer cohomology for contactomorphisms of quotient spaces

Hamiltonian linking and Symplectic packing

The strong Arnol'd chord conjecture for the boundary of a uniformly convex domain in $R^{4}$