Journal
MATHEMATISCHE ZEITSCHRIFT
Volume 297, Issue 1-2, Pages 197-221Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00209-020-02508-6
Keywords
Equivariant; Rationally elliptic; Toral rank; Torus action
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Funding
- Groups, Geometry & Actions at WWU Munster [SFB 878]
- DFG, SPP2026 Geometry at Infinity [GA 2050/2-1, KE 2248/1-1]
- DFG, RTG 2229 Asymptotic Invariants and Limits of Groups and Spaces [281869850]
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An upper bound has been obtained for the rank of a Torus acting on a smooth, closed (simply connected) rationally elliptic manifold. In the case of maximal rank, the manifolds admitting such actions are classified up to equivariant rational homotopy equivalence.
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.
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