| 单形和3维立方体乘积上小覆盖的等变协边类的个数 |
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| 引用本文： | 陈彦昌,王红军. 单形和3维立方体乘积上小覆盖的等变协边类的个数[J]. 数学杂志, 2014, 34(2): 191-197 |
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| 作者姓名： | 陈彦昌 王红军 |
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| 作者单位： | 河南师范大学数学与信息科学学院, 河南 新乡 453007,河南师范大学数学与信息科学学院, 河南 新乡 453007 |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | 协边 小覆盖 切表示 |
| 收稿时间： | 2012-10-27 |
| 修稿时间： | 2013-01-22 |
THE NUMBER OF SMALL COVERS OVER PRODUCTS OF A SIMPLEX WITH 3-CUBE UP TO EQUIVARIANT COBORDISM |
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| CHEN Yan-chang and WANG Hong-jun. THE NUMBER OF SMALL COVERS OVER PRODUCTS OF A SIMPLEX WITH 3-CUBE UP TO EQUIVARIANT COBORDISM[J]. Journal of Mathematics, 2014, 34(2): 191-197 |
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| Authors: | CHEN Yan-chang and WANG Hong-jun |
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| Affiliation: | College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China and College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China |
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| Abstract: | 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. |
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| Keywords: | cobordism small cover tangential representation |
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