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arXiv · 1511.08383

Torus actions on rationally elliptic manifolds

Fernando Galaz-Garcia·Martin Kerin·Marco Radeschi
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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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Fernando Galaz-Garcia, Martin Kerin, Marco Radeschi. 2020-03-23. Torus actions on rationally elliptic manifolds. https://arxiv.org/abs/1511.08383

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