| 透镜空间L~n(4)上的向量丛及相关的对合 |
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| 引用本文： | 刘喜波,蒋云峰.透镜空间L~n(4)上的向量丛及相关的对合[J].数学年刊A辑(中文版),2004(2). |
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| 作者姓名： | 刘喜波 蒋云峰 |
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| 作者单位： | 北方工业大学理学院，中科院数学与系统科学研究院系统科学研究所 北京 100041，北京 100080 |
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| 摘 要： | 本文研究了透镜空间Ln(4)的上同调群生成元的运算性质,利用这些生成元,并借助于KO-理论计算出了透镜空间Ln(4)上任意向量丛的全Stiefel—Whitney示性类.更进一步地,给出了不动点集为透镜空间Ln(4)的带对合的流形的协边分类.
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| 关 键 词： | 全Stiefel-Whitney示性类 向量丛 透镜空间 对合 |
THE VECTOR BUNDLE OVER LENS SPACE L~n(4) AND THE RELATED INVOLUTIONS |
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| LIU Xibo JIANG Yunfeng
College of Science,North China University of Technology,Beijing ,China.THE VECTOR BUNDLE OVER LENS SPACE L~n(4) AND THE RELATED INVOLUTIONS[J].Chinese Annals of Mathematics,2004(2). |
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| Authors: | LIU Xibo JIANG Yunfeng
College of Science North China University of Technology Beijing China |
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| Institution: | LIU Xibo JIANG Yunfeng
College of Science,North China University of Technology,Beijing 100041,China.
Institute of Systems Science,Academy of Mathematics and System Sciences,Chinese Academy of Science,Beijing 100080,China. |
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| Abstract: | This paper studies the operation properties of the cohomological generators of lens space Ln(4). Using these generators and the KO-theory, the authors calculate out the total Stiefel-Whitney class of any vector bundle over lens space Ln(4). Moreover, the authors gave the cobordism classification of manifolds with involutions whose fixed point set is the lens space Ln(4). |
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| Keywords: | Total Stiefel-Whitney class Vector bundle Lens space Involution |
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