3 papers
math.GT2026
Equivariantly Slice Knots in Symmetric 4-Manifolds
Malcolm Gabbard
We study the equivariant 4-genus of strongly invertible knots in the boundary of 4-manifolds with involution. We provide techniques for constructing slice disks for knots in…
math.GT2024
Equivariant Double-Slice Genus, Stabilization, and Equivariant Stabilization
Malcolm Gabbard
In this paper we define the equivariant double-slice genus and equivariant super-slice genus of a strongly invertible knot. We prove lower bounds for both the equivariant double-sl…
math.NA2020
Discretization of the Koch Snowflake Domain with Boundary and Interior Energies
Malcolm Gabbard, Carlos Lima, Gamal Mograby +2
We study the discretization of a Dirichlet form on the Koch snowflake domain and its boundary with the property that both the interior and the boundary can support positive energy.…