[{"type":"chapter","title":"Torus orbifolds, slice-maximal torus actions and rational ellipticity. [Preprint]","issued":{"date-parts":[["2014"]]},"page":"arXiv:1404.3903","container-title":"arXiv [math.DG]","author":[{"family":"Galaz-Garcia","given":"Fernando"},{"family":"Kerin","given":"Martin"},{"family":"Radeschi","given":"Marco"},{"family":"Wiemeler","given":"Michael"}],"abstract":"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 an application, simply-connected, rationally-elliptic manifolds admitting slice-maximal torus actions are classified up to equivariant rational homotopy. The case where the rational-ellipticity hypothesis is replaced by non-negative curvature is also discussed, and the Bott Conjecture in the presence of a slice-maximal torus action is proved.","kit-publication-id":"1000051184"}]