Geometry & Topology 9 (2005) 315–339

DOI: 10.2140/gt.2005.9.315

arXiv: math.GT/0205110

Abstract

The possibilities for new or unusual kinds of topological, locally linear periodic maps of non-prime order on closed, simply connected 4–manifolds with positive definite intersection pairings are explored. On the one hand, certain permutation representations on homology are ruled out under appropriate hypotheses. On the other hand, an interesting homologically nontrivial, pseudofree, action of the cyclic group of order 25 on a connected sum of ten copies of the complex projective plane is constructed.

Keywords

periodic map, 4–manifold, positive definite, permutation representation, pseudofree

Mathematical Subject Classification

Primary: 57S17

Secondary: 57M60, 57N13, 57S25

References

Forward citations

Publication

Received: 8 July 2004
Revised: 23 January 2005
Accepted: 21 February 2005
Published: 23 February 2005
Proposed: Ronald Fintushel
Seconded: Walter Neumann, Ronald Stern

Authors