Torus actions on rationally elliptic manifolds
Fernando Galaz-Garcia, Martin Kerin, Marco Radeschi

TL;DR
This paper establishes an upper limit on the size of torus groups acting smoothly on certain rationally elliptic manifolds and classifies those with maximal rank actions.
Contribution
It provides a new upper bound for torus action ranks and classifies manifolds with maximal torus actions up to equivariant rational homotopy type.
Findings
Upper bound on torus action rank
Classification of manifolds with maximal torus actions
Effective torus actions on rationally elliptic manifolds
Abstract
An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed, simply connected, rationally elliptic manifold. In the maximal-rank case, the manifolds admitting such actions are classified up to equivariant rational homotopy type.
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