Jianfeng Lin

collaborators

7 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

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.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

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 $I ¨ _{1} (Y)$ is infinite. Let $Diff_{\partial} (I \times Y)$ denote the group of…

math.GT2026

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 $I^£$ in $I^£ \times S^{2}$ that are geometrically dual to $\{\mb…

Splitting spheres for S2-links in S4

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

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

Flexible exponents of non-geometric 3-manifolds

Pseudo-isotopies of 3-manifolds with infinite fundamental groups

Dax invariants, light bulbs, and isotopies of symplectic structures

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

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