Homotopy Coherent Nielsen Realization Problem for Dehn Twists on K3-Type 4-Manifolds

Yujie Lin, Yi Sha

We study the homotopy coherent version of the Nielsen realization problem for smooth $4$-manifolds. Given a finite subgroup $G\subset \ddot{I}{€}_0(\mathrm{Diff}(M))$, this problem asks whe…