Galaz-García, F. and Kerin, M. and Radeschi, M. (2021) 'Torus actions on rationally elliptic manifolds.', Mathematische Zeitschrift., 297 . pp. 197-221.
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 equivalence.
| Item Type: | Article |
|---|---|
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (Advance online version) (428Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/s00209-020-02508-6 |
| Publisher statement: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Date accepted: | 08 March 2020 |
| Date deposited: | 03 April 2020 |
| Date of first online publication: | 28 March 2020 |
| Date first made open access: | 03 April 2020 |
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