activity
20202024
most citedA filtered mapping cone formula for cables of the knot meridian

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.GT2024

Negative contact surgery on Legendrian non-simple knots

Shunyu Wan, Hugo Zhou

We prove that for any pair of Legendrian representatives of the Chekanov-Eliashberg twist knots with different LOSS invariants, any negative rational contact -surgery with $r\ne…

math.GT2024

Cubiquitous Lattices and Branched Covers bounding rational balls

Erica Choi, Nur Saglam, Jonathan Simone +2

Greene and Owens explore cubiquitous lattices as an obstruction to rational homology 3-spheres bounding rational homology 4-balls. The purpose of this article is to better understa…

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…

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 --cable of the knot meridian in any rational surgery, generalizing Truong's result a…

math.GT2020

Homology concordance and an infinite rank free subgroup

Hugo Zhou

Two knots are homology concordant if they are smoothly concordant in a homology cobordism. The group (resp. ) was previou…