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math.GT2022★ 2 cited
A note on surfaces in and
Marco Marengon, Allison N. Miller, Arunima Ray +1
In this brief note, we investigate the -genus of knots, i.e. the least genus of a smooth, compact, orientable surface in boun…
math.GT2022★ 1 cited
Unknotting number 21 knots are slice in K3
Marco Marengon, Stefan Mihajlović
We prove that all knots with unknotting number at most 21 are smoothly slice in the K3 surface. We also prove a more general statement for 4-manifolds that contain a plumbing tree…