Torus actions on rationally elliptic manifolds

Galaz-García, F.; Kerin, M.; Radeschi, M.

doi:10.1007/s00209-020-02508-6

Torus actions on rationally elliptic manifolds Thumbnail

Authors

Professor Fernando Galaz Garcia fernando.galaz-garcia@durham.ac.uk
Associate Professor

Dr Martin Kerin martin.p.kerin@durham.ac.uk
Assistant Professor

M. Radeschi

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.

Citation

Galaz-García, F., Kerin, M., & Radeschi, M. (2021). Torus actions on rationally elliptic manifolds. Mathematische Zeitschrift, 297, 197-221. https://doi.org/10.1007/s00209-020-02508-6

Journal Article Type	Article
Acceptance Date	Mar 8, 2020
Online Publication Date	Mar 28, 2020
Publication Date	2021-02
Deposit Date	Apr 1, 2020
Publicly Available Date	Apr 3, 2020
Journal	Mathematische Zeitschrift
Print ISSN	0025-5874
Electronic ISSN	1432-1823
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	297
Pages	197-221
DOI	https://doi.org/10.1007/s00209-020-02508-6
Related Public URLs	https://arxiv.org/abs/1511.08383

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