2 papers
math.GT2026
On the Homotopy Coherent Nielsen Realization Problem for K3-Type 4-Manifolds
Yujie Lin, Yi Sha
We study the homotopy coherent analogue of the Nielsen realization problem for smooth 4-manifolds. Using family Seiberg-Witten theory, we prove that for K3-type 4-manifolds and the…
math.GT2025
A note on the boundary Dehn twist of surfaces
Yujie Lin
By the work of Baraglia-Konno and Kronheimer-Mrowka, the boundary Dehn twist on punctured surfaces is nontrivial in the smooth mapping class group relative to boundary. In thi…