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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…