Involutions on tori with codimension one fixed point set

2007/10/13 by Edmonds, Allan L.
#57S17 #57S25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0710.2612

Abstract

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.

Related

• Involution on the product of projective space and sphere
• The realization and classification of topologically transitive group actions on 1-manifolds
• Involutions on S⁴
• Involutions on surfaces
• Fixed Point Sets of Involutions on the Product of Three Spheres