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math.GT2023
On homology concordance in contractible manifolds and two bridge links
Hugo Zhou
Let be the group consists of manifold-knot pairs modulo homology concordance, where is an integer homology sphere bounding an integer…
math.GT2023
(1,1) almost L-space knots
Fraser Binns, Hugo Zhou
We give a diagrammatic characterization of the knots in the three-sphere and lens spaces which admit large Dehn surgeries to manifolds with Heegaard Floer homology of next-…
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…