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

Mathematics – Geometric Topology

Scientific paper

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

Scientific paper

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.

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