Torus actions on rationally elliptic manifolds

被引：0
作者：
F. Galaz-García
M. Kerin
M. Radeschi
机构：
[1] Durham University,Department of Mathematical Sciences
[2] NUI Galway,School of Mathematics, Statistics and Applied Mathematics
[3] University of Notre Dame,Department of Mathematics
来源：
Mathematische Zeitschrift | 2021年 / 297卷
关键词：
Equivariant; Rationally elliptic; Toral rank; Torus action; 55P62; 57R91; 57S15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：197 / 221
页数：24
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