Hugo Zhou

collaborators

3 papers

math.GT2026

On L-space surgeries on two-bridge links

Diego Santoro, Hugo Zhou

We classify the sets of $L$ -space surgeries on all two-bridge links, providing the first examples of hyperbolic links for which such sets cannot be described as unions of finitely…

math.GT2026

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 $r$ -surgery with $r\ne…

math.GT2025

Surgeries on knots and tight contact structures

Zhenkun Li, Shunyu Wan, Hugo Zhou

For any knot $K$ in $S^{3}$ and any positive rational $r$ , we show that smooth $(- r)$ -surgery on $K$ always admits a tight contact structure. More specifically, the tightness is dete…