Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity
Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity
In this work, it is shown that a simply connected, rationally elliptic torus orbifold is equivariantly rationally homotopy equivalent to the quotient of a product of spheres by an almost-free, linear torus action, where this torus has rank equal to the number of odd-dimensional spherical factors in the product. As …