Shunyu Wan

activity

20232026

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4 papers · 1 filter

math.GT2026

U torsion structure in Heegaard Floer homology

Yuhui Chen, Shunyu Wan

We construct infinite families of Brieskorn spheres with three singular fibers for which the difference between the largest and the second largest length of $U$ -torsion in their He…

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…

U torsion structure in Heegaard Floer homology

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

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