3 papers
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.SG2024
Legendrian non-squeezing via microsheaves
Eric Kilgore
We show that Legendrian pre-quantization lifts of many non-exact Lagrangian submanifolds in retain some quantitative rigidity from the symplectic base. In particular…
math.SG2023
Extensible positive loops and vanishing of symplectic cohomology
Dylan Cant, Jakob Hedicke, Eric Kilgore
The symplectic cohomology of certain symplectic manifolds with non-compact ends modelled on the positive symplectization of a compact contact manifold is shown to vanish wh…