Fan Ye

collaborators

2 papers

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

Singular instanton homology of dual knots

Fan Ye

We establish a dimension formula for the unreduced singular instanton homology of dual knots $K_{p / q} \subset S_{p / q}^{3} (K)$ for a knot $K \subset S^{3}$ : $$ \dim I^\sharp(S…