Torus actions on rationally elliptic manifolds
Differential Geometry
2020-03-24 v3 Geometric Topology
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.
Cite
@article{arxiv.1511.08383,
title = {Torus actions on rationally elliptic manifolds},
author = {Fernando Galaz-Garcia and Martin Kerin and Marco Radeschi},
journal= {arXiv preprint arXiv:1511.08383},
year = {2020}
}
Comments
29 pages; Final version. To appear in Math. Z