Involutions fixing RPodd ∐ P(h,i), II

被引:8
作者
Lü, Z [1 ]
机构
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
关键词
Involution; Dold manifold; characteristic class;
D O I
10.1090/S0002-9947-03-03489-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies the equivariant cobordism classification of all involutions fixing a disjoint union of an odd-dimensional real projective space RPj with its normal bundle nonbounding and a Dold manifold P(h,i) with h a positive even and i>0. The complete analysis of the equivariant cobordism classes of such involutions is given except that the upper and lower bounds on the codimension of P(h,i) may not be best possible. In particular, we find that there exist such involutions with nonstandard normal bundle to P(h,i). Together with the results of part I of this title (Trans. Amer. Math. Soc. 354 (2002), 4539-4570), the argument for involutions fixing RPodd boolean ORP(h,i) is finished.
引用
收藏
页码:1291 / 1314
页数:24
相关论文
共 11 条
[1]   CHARACTERISTIC CLASSES AND HOMOGENEOUS SPACES .2. [J].
BOREL, A ;
HIRZEBRUCH, F .
AMERICAN JOURNAL OF MATHEMATICS, 1959, 81 (02) :315-382
[2]  
Dold A, 1956, MATH Z, V65, P25
[3]  
GUO HY, 1998, CHINESE Q J MATH, V13, P16
[4]   Involutions fixing RPodd ∐P(h, i), I [J].
Lü, Z .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (11) :4539-4570
[5]  
LU Z, 2000, KODAI MATH J, V23, P187
[6]   Involutions fixing (point)∨Fn [J].
Pergher, PLQ ;
Stong, RE .
TRANSFORMATION GROUPS, 2001, 6 (01) :79-86
[7]   INVOLUTIONS FIXING THE DISJOINT UNION OF 2 PROJECTIVE SPACES [J].
ROYSTER, DC .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1980, 29 (02) :267-276
[8]  
Stong R., COMMUNICATION
[9]   Vector bundles over Dold manifolds [J].
Stong, RE .
FUNDAMENTA MATHEMATICAE, 2001, 169 (01) :85-95
[10]  
Ucci J. J., 1965, TOPOLOGY, V4, P283