A survey of group actions on 4-manifolds

Details A survey of group actions on 4-manifolds A survey of group actions on 4-manifolds

2009-07-02

arxiv.org/abs/0907.0454v1

Mathematics

Geometric Topology

Scientific paper

Almost 50 years of work on group actions and the geometric topology of 4-manifolds, from the 1960's to the present, from knotted fixed point sets to Seiberg-Witten invariants, is surveyed. Locally linear actions are emphasized, but differentiable and purely topological actions are also discussed. The presentation is organized around some of the fundamental general questions that have driven the subject of compact transformation groups over the years and their interpretations in the case of 4-manifolds. Many open problems are formulated. Updates to previous problems sets are given. A substantial bibliography is included.

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