Shunyu Wan

collaborators

4 papers

math.GT2026

Heegaard Floer knot trace invariants, exotic 4-manifolds, and symplectic obstructions

Jennifer Hom, Shunyu Wan

We show that the numerical invariants $ν$ and $∣ ε ∣$ coming from knot Floer homology are knot $n$ -trace invariants for any integer $n$ , resolving the remaining case in Hay…

math.GT2026

The next-to-top term of the knot Floer homology of some non-fibered knots

Fraser Binns, Shunyu Wan

Sivek conjectured that the rank of knot Floer homology in the next-to-top Alexander grading is at least the rank in the top Alexander grading. Baldwin and Vela-Vick verified this c…

math.GT2026

Exotic $R^{4}$ 's, RBG Links, and End Floer Homology

Sean Eli, Shunyu Wan

We give the first pair of non-diffeomorphic exotic $R^{4}$ 's made by attaching diffeomorphic Casson handles onto diffeomorphic disk complements. Our examples are obtained us…

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…

Heegaard Floer knot trace invariants, exotic 4-manifolds, and symplectic obstructions

The next-to-top term of the knot Floer homology of some non-fibered knots

Exotic R4's, RBG Links, and End Floer Homology

Surgeries on knots and tight contact structures

Exotic $R^{4}$ 's, RBG Links, and End Floer Homology