Torus actions on homotopy complex projective spaces

被引：10
|
作者：
Dessai, A [1 ]
Wilking, B
机构：
[1] Univ Augsburg, D-86135 Augsburg, Germany
[2] Univ Munster, D-48149 Munster, Germany
来源：
MATHEMATISCHE ZEITSCHRIFT | 2004年 / 247卷 / 03期
关键词：
Projective Space; Effective Action; Torus Action; Complex Projective Space; Usual Formula;
D O I：
10.1007/s00209-003-0614-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that an effective action of a torus T on a homotopy CPm is linear if m<4.rk(T)-1. Examples show that the bound is optimal. Combining this with a theorem of Hattori we conclude that the total Pontrjagin class of such a manifold is given by the usual formula (1+x(2))(m+1).
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页码：505 / 511
页数：7
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