Zhenkun Li

activity

20202025

most citedInstanton Floer homology, sutures, and Heegaard diagrams

17 citations · 41 across the 14 of their papers we have counts for

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Showing 2025 · math.GTShow all

3 papers · 2 filters

math.GT2025

Instanton 2-torsion and fibered knots

Deeparaj Bhat, Zhenkun Li, Fan Ye

We prove that the unreduced singular instanton homology $I^{♯} (Y, K; Z)$ has $2$ -torsion for any null-homologous fibered knot $K$ of genus $g > 0$ in a closed $3$ -manifold…

math.GT2025

Instanton dimensions of knot surgeries over arbitrary fields

Zhenkun Li, Fan Ye

Suppose $K \subset S^{3}$ is a knot and suppose $p$ and $q$ are co-prime integers with $q \geq 1$ . For any field $K$ , we establish a dimension formula for the framed instanton…

math.GT2025

Instanton 2-torsion and Dehn surgeries

Zhenkun Li, Fan Ye

In our earlier work on $2$ -torsion in instanton Floer homology, we considered only integral surgeries on a knot $K \subset S^{3}$ and showed that the absence of $2$ -torsion forces $K$ …