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

2009/12/31 by Weimin Chen · 2 citations
Mathematics · #math.GT #math.SG #msc:57R57 #msc:57R17

paper · pdf

published as Proceedings of the Gokova Geometry-Topology Conference 2009, Akbulut, S. et al ed., pp. 1-21, International Press, 2010 · 21 pages, no figures, expanded version of author's talk at the Gokova conference 2009, appeared in the proceedings

arxiv created 2010/09/15 · arxiv updated 2010/09/16

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.

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