## Geometry & Topology

### Periodic maps of composite order on positive definite 4–manifolds

Allan L Edmonds

#### 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.

#### Article information

Source
Geom. Topol., Volume 9, Number 1 (2005), 315-339.

Dates
Revised: 23 January 2005
Accepted: 21 February 2005
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513799568

Digital Object Identifier
doi:10.2140/gt.2005.9.315

Mathematical Reviews number (MathSciNet)
MR2140984

Zentralblatt MATH identifier
1087.57024

#### Citation

Edmonds, Allan L. Periodic maps of composite order on positive definite 4–manifolds. Geom. Topol. 9 (2005), no. 1, 315--339. doi:10.2140/gt.2005.9.315. https://projecteuclid.org/euclid.gt/1513799568

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