Displaying similar documents to “Semifree Topological Actions of Finite Groups on Spheres.”

Topological classification of multiaxial U ( n ) -actions (with an appendix by Jared Bass)

Sylvain Cappell, Shmuel Weinberger, Min Yan (2015)

Journal of the European Mathematical Society

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This paper begins the classification of topological actions on manifolds by compact, connected, Lie groups beyond the circle group. It treats multiaxial topological actions of unitary and symplectic groups without the dimension restrictions used in earlier works by M. Davis and W. C. Hsiang on differentiable actions. The general results are applied to give detailed calculations for topological actions homotopically modeled on standard multiaxial representation spheres. In the present...

Involutions on tori with codimension-one fixed point set

Allan L. Edmonds (2009)

Colloquium Mathematicae

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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.