Displaying similar documents to “Involutions on tori with codimension-one fixed point set”

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

Similarity:

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...

Maximal actions of finite 2-groups on ℤ₂-homology 3-spheres

Mattia Mecchia (2004)

Fundamenta Mathematicae

Similarity:

It is known that a finite 2-group acting on a ℤ₂-homology 3-sphere has at most ten conjugacy classes of involutions; the action of groups with the maximal number of conjugacy classes of involutions is strictly related to some questions concerning the representation of hyperbolic 3-manifolds as 2-fold branched coverings of knots. Using a low-dimensional approach we classify these maximal actions both from an algebraic and from a geometrical point of view.

ℂ * -actions on ℂ 3 are linearizable.

Kaliman, Shulim I., Koras, Mariusz, Makar-Limanov, Leonid, Russell, Peter (1997)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Similarity: