Involutions on tori with codimension one fixed point set

Details Involutions on tori with codimension one fixed point set Involutions on tori with codimension one fixed point set

2007-10-13

arxiv.org/abs/0710.2612v2

Mathematics

Geometric Topology

Corrects error in previous lemma 3.2, adds details for the case when the fixed point set is connected

Scientific paper

The standard P. A. Smith theory of p-group actions on spheres, disks, and euclidean spaces is extended to the case of p-group actions on tori (i.e., products of circles) and coupled with topological surgery theory to give a complete topological classification, valid in all dimensions, of the locally linear, orientation reversing, involutions on tori with fixed point set of codimension one.

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