Jianfeng Lin

activity

20232026

most citedConfiguration space integrals and formal smooth structures

2 citations · 2 across the 9 of their papers we have counts for

collaborators

9 papers

math.GT2026

Splitting spheres for $S^{2}$ -links in $S^{4}$

Jianfeng Lin, Yi Xie, Boyu Zhang

We prove that every smooth two-component split sphere link $L ⊔ R \subset S^{4}$ admits infinitely many smooth splitting $3$ -spheres that are topologically non-isotopic. This gene…

math.GT2026

Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces

Jianru Duan, Jianfeng Lin, Shicheng Wang +2

A classical question in quantitative topology is to bound the mapping degree $deg (f)$ in terms of its Lipchitz constant $Lip (f)$ . For a closed, orient…

math.GT2026

Flexible exponents of non-geometric 3-manifolds

Jianfeng Lin, Hongbin Sun, Zhongzi Wang

A classical question in quantitative topology is to bound the mapping degree $deg (f)$ in terms of its Lipchitz constant $Lip (f)$ . For a closed, orientable, Ri…

math.GT2026

Non-isotopic surfaces in $T^{4} # (S^{2} \times S^{2})$ : an example

Jianfeng Lin, Yue Wu

We prove that there exist infinitely many embedded tori with a common geometric dual in $T^{4} # (S^{2} \times S^{2})$ that are homotopic, diffeomorphic, but not isotopic to each other, ev…

math.DG2026

Non-Existence of Smooth Full-Holonomy Cayley Fibrations

Jianfeng Lin, Viktor F. Majewski, Jacek Rzemieniecki

We prove that every Cayley fibration of a compact torsion-free Spin(7)-manifold with full holonomy must have singular fibers. This confirms a long-standing expectation in the study…

math.GT2026

Pseudo-isotopies of 3-manifolds with infinite fundamental groups

Jianfeng Lin, Yi Xie, Boyu Zhang

Suppose $Y$ is a compact, connected, oriented 3-manifold possibly with boundary, such that $π_{1} (Y)$ is infinite. Let $Diff_{\partial} (I \times Y)$ denote the group of s…

math.GT2025

On the mapping class groups of 4-manifolds with 1-handles

Jianfeng Lin, Yi Xie, Boyu Zhang

We develop a framework that generalizes Budney-Gabai's $W_{3}$ invariant on $π_{0} Diff (S^{1} \times D^{3}, \partial)$ to 4-manifolds with 1-handles. As applications, we show that if…

math.GT2025

Dax invariants, light bulbs, and isotopies of symplectic structures

Jianfeng Lin, Weiwei Wu, Yi Xie +1

This paper addresses several isotopy problems on $4$ -manifolds. First, we classify the isotopy classes of embeddings of $Σ$ in $Σ \times S^{2}$ that are geometrically dual to $\{\mbox…

math.GT2023★ 2 cited

Configuration space integrals and formal smooth structures

Jianfeng Lin, Yi Xie

Watanabe disproved the 4-dimensional Smale conjecture by constructing topologically trivial $D^{4}$ -bundles over spheres and showing that they are smoothly nontrivial using configu…

Splitting spheres for S2-links in S4

Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces

Flexible exponents of non-geometric 3-manifolds

Non-isotopic surfaces in T4#(S2×S2): an example

Non-Existence of Smooth Full-Holonomy Cayley Fibrations

Pseudo-isotopies of 3-manifolds with infinite fundamental groups

On the mapping class groups of 4-manifolds with 1-handles

Dax invariants, light bulbs, and isotopies of symplectic structures

Configuration space integrals and formal smooth structures

Splitting spheres for $S^{2}$ -links in $S^{4}$

Non-isotopic surfaces in $T^{4} # (S^{2} \times S^{2})$ : an example