Group actions on 4-manifolds: some recent results and open questions

Abstract

A survey of finite group actions on symplectic 4-manifolds is given with a special emphasis on results and questions concerning smooth or symplectic classification of group actions, group actions and exotic smooth structures, and homological rigidity and boundedness of group actions. We also take this opportunity to include several results and questions which did not appear elsewhere.

21 pages, no figures, expanded version of author's talk at the Gokova conference 2009, appeared in the proceedings

References in corpus (3)

• Symmetric symplectic homotopy K3 surfaces
• A survey of group actions on 4-manifolds
• Pseudofree Z/3-actions on K3 surfaces

Cited by in corpus (5)

• A survey of group actions on 4-manifolds
• $G$-minimality and invariant negative spheres in $G$-Hirzebruch surfaces
• Cyclic actions on rational ruled symplectic four-manifolds
• Hurwitz-type bound, knot surgery, and smooth $\s^1$-four-manifolds
• Symplectic rational $G$-surfaces and equivariant symplectic cones