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math.AT2023
On actions of tori and quaternionic tori on products of spheres
Anton Ayzenberg, Dmitry Gugnin
In this paper we study the actions of tori (standard compact tori, as well as their quaternionic analogues) on products of spheres. It is proved that the orbit space of a specific…
math.AT2023★ 2 cited
Toric orbit spaces which are manifolds
Anton Ayzenberg, Vladimir Gorchakov
We characterize the actions of compact tori on smooth manifolds for which the orbit space is a topological manifold (either closed or with boundary). For closed manifolds the resul…