Let $X$ be a symplectic homotopy K3 surface and $G = S_5$ act on $X$ symplectically. In this paper, we give a weak classification of the $G$ action on $X$ by discussing the fixed-point set structure. Besides, we analyse the exoticness of smoothstructures of $X$ under the action of $G$.
Proceedings – Mathematical Sciences
Volume 132, 2022 All articles Continuous Article Publishing mode
