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math.GT2023★ 1 cited
Topologically and rationally slice knots
Jennifer Hom, Sungkyung Kang, JungHwan Park
A knot in is topologically slice if it bounds a locally flat disk in . A knot in is rationally slice if it bounds a smooth disk in a rational homology ball. We pro…
math.GT2023
PL-genus of surfaces in homology balls
Jennifer Hom, Matthew Stoffregen, Hugo Zhou
We consider manifold-knot pairs where is a homology sphere that bounds a homology ball. We show that the minimum genus of a PL surface in a homology ball such t…