Yi Xie

activity

20232026

most citedConfiguration space integrals and formal smooth structures

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

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…