单形和3维立方体乘积上小覆盖的等变协边类的个数(英文)  

THE NUMBER OF SMALL COVERS OVER PRODUCTS OF A SIMPLEX WITH 3-CUBE UP TO EQUIVARIANT COBORDISM

作　　者：陈彦昌[1] 王红军[1] 

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《数学杂志》2014年第2期191-197,共7页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11201126;10971050);The Basic Science and Technological Frontier Project of Henan(122300410414;132300410432);The research program for scientific technology of Henan province(13A110540)

摘　　要：本文研究了小覆盖的等变协边分类.利用示性函数和Stong同态确定了单形和3维立方体乘积上小覆盖的等变协边类的个数,推广了现有文献中的相关结果.In this paper, we study equivariant cobordism classification of small covers. By using characteristic and Stong homomorphism, we determine the number of equivariant cobordism classes of small covers over products of a simplex with 3-cube, which extends the existing related result in literature.

关 键 词：协边 小覆盖 切表示 

分 类 号：O189.2[理学—数学]