Hugo Zhou

most citedA filtered mapping cone formula for cables of the knot meridian

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math.GT2023

PL-genus of surfaces in homology balls

Jennifer Hom, Matthew Stoffregen, Hugo Zhou

We consider manifold-knot pairs $(Y, K)$ where $Y$ is a homology sphere that bounds a homology ball. We show that the minimum genus of a PL surface $Σ$ in a homology ball $X$ such t…

math.GT2022★ 1 cited

A filtered mapping cone formula for cables of the knot meridian

Hugo Zhou

We construct a filtered mapping cone formula that computes the knot Floer complex of the $(n, 1)$ --cable of the knot meridian in any rational surgery, generalizing Truong's result a…