3 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Global Non-Linearly Stable Large-Data Solutions to the Einstein Scalar Field System
Eric Kilgore
I study a class of global, causal geodesically complete solutions to the spherically symmetric Einstein scalar field (SSESF) system . Extending results of Luk-Oh (Quantitative Deca…