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Torus Actions on a Cohomology Product of Three Odd Spheres

Torus Actions on a Cohomology Product of Three Odd Spheres

The main purpose of this paper is to describe how a torus group may act on a space, $X$, whose rational cohomology ring is isomorphic to that of a product of three odd-dimensional spheres, in such a way that the fixed point set is nonempty, and $X$ is not totally …