具有不动点集*∪F^(4l+2)的可换对合  

THE COMMUTING INVOLUTION WITH * ∪F^(4L+2) BEING THE FIXED POINT SET

作　　者：王荣欣[1] 刘宗泽[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《南开大学学报（自然科学版）》2003年第3期48-52,共5页Acta Scientiarum Naturalium Universitatis Nankaiensis

摘　　要：设(M',Φ)是r维光滑闭流形M'上的(Z2)k作用,其不动点集为*∪F4l+2,且F4l+2～CP(2l+1).本文研究流形M'的维数和(M',Φ)的等价协边类,得到结论: (1)r=(4l+4)·2t-1,t为整数,且1≤t≤k; (2)[M,Φ]2=[σГtk(CP(2l+2),τ0)]2.Suppose (Mr,Φ) is a differientiable (Z2)k-action on a r-dimensional closed manifold AT with the fixed point set of Φ being the disjoint union of a single point and a fixed connect (4l + 2)-dimensional manifold, that is * ∪F4l+2 satisfies F4l+2-CP(2l + 1). In this paper, it determines the dimension of Mr and the equivariant bordism class of (Mr ,Φ). In conclusion, it has: (1) r=(4l + 4)2t-1 for some integer t,1≤t≤k; (2)[M,Φ]2=[σГtk(CP(2l+2),τ0)]2.

关 键 词：协边 对合 (Z2)^K作用 模二上同调环同构 

分 类 号：O189.2[理学—数学]