不动点集为有限个奇数维复射影空间并的对合  

Involutions of the Disjoint Union of Fixed Point Set with Odd-Dimensional Complex Projective Spaces

作　　者：赵素倩[1] 李京艳[2] 

机构地区：[1]河北科技大学理学院,石家庄050018 [2]石家庄铁道大学数理系,石家庄050043

出　　处：《吉林大学学报（理学版）》2015年第6期1201-1206,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11371118;11201314);高等学校博士学科点专项科研基金(批准号:20121303110004);河北科技大学博士科研启动基金(批准号:QD201021)

摘　　要：设(Mr,T)是一个带有光滑对合T的r维光滑闭流形,考虑当对合的不动点集为有限个奇数维复射影空间的并,即F=∪i=1t∪j=1miCPj(ni())(ni为奇数)时对合的协边分类.通过构造合适的对称多项式和计算示性数,证明了每个以F为不动点集的对合(Mr,T)协边.Let（Mr,T）be a smooth closed manifold of dimension r with a smooth involution T,on the basis of which we investigated the bordism classes of the involutions of a disjoint union of fixed point set with odd-dimensional complex projective spaces,i.e.,F = ∪i=1t∪j=1miCPj（ni（））（niis odd）.Constructing symmetric polynomial and computing characteristic number,we proved every involution（Mr,T）of fixed Fbounds.

关 键 词：对合 不动点集 示性类 协边 

分 类 号：O189.3[理学—数学]