Fan Ye

activity

20202026

collaborators

Showing math.GTShow all

5 papers · 1 filter

math.GT2026

An infinity-categorical TQFT from instantons

Fan Ye

In this paper, we upgrade the instanton TQFT from ordinary categories to a functor $C I$ from an $\infty$ -cobordism category $BI$ for instantons to an $\infty$ -derived cate…

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 $K$ …

math.GT2024

2-torsion in instanton Floer homology

Zhenkun Li, Fan Ye

This paper studies the existence of $2$ -torsion in instanton Floer homology with $Z$ coefficients for closed $3$ -manifolds and singular knots. First, we show that the non-…

math.GT2020

Sutured instanton homology and Heegaard diagrams

John A. Baldwin, Zhenkun Li, Fan Ye

Suppose H is an admissible Heegaard diagram for a balanced sutured manifold (M,γ). We prove that the number of generators of the associated sutured Heegaard Floer complex is an upp…