Dylan Cant

activity

20232026

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3 papers · 1 filter

math.SG2026

Lengths of Reeb chords and Viterbo restriction

Filip Broćić, Dylan Cant

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

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…

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

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