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G&T Monographs |
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Periodic maps of composite order on positive definite
4–manifolds
Allan L Edmonds
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Geometry & Topology 9 (2005)
315–339
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Abstract
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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.
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Keywords
periodic map, 4–manifold, positive
definite, permutation representation, pseudofree
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Mathematical Subject Classification
Primary: 57S17
Secondary: 57M60, 57N13, 57S25
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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
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