| K3曲面上交错群A_5的作用 |
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| 引用本文： | 贾睿. K3曲面上交错群A_5的作用[J]. 鞍山科技大学学报, 2011, 0(3) |
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| 作者姓名： | 贾睿 |
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| 作者单位： | 辽宁科技大学理学院; |
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| 摘 要： | 以交错群A5在曲面上的作用为研究对象,从一类特殊的K3曲面的A5作用出发,得到了该类K3曲面上A5作用的不动点,利用不动点集计算了群作用的一些不变量H2(X;C),H2+(X;C)和H2-(X;C)。在此基础上,把其中的一些结果推广到了一般情形下的同伦K3曲面上,计算出当A5满足某些特定条件时的Direc算子G-指标及K-理论度。
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| 关 键 词： | Spin四维流形 交错群作用 不动点 K3曲面 Seiberg-Witten理论 |
Effects of alternating group A_5 on K3 surfaces |
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| JIA Rui. Effects of alternating group A_5 on K3 surfaces[J]. Journal of Anshan University of Science and Technology, 2011, 0(3) |
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| Authors: | JIA Rui |
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| Affiliation: | JIA Rui(School of Sciences,University of Science and Technology Liaoning,Anshan 114051,China) |
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| Abstract: | The effect of alternating group A5 on K3 surfaces is taken as the research object,starting from some A5 action on a special K3 surface,the fixed points set of this action and some invariants H2(X;C),H+2(X;C) and H-2(X;C)of the group action are obtained,and also some topological properties are obtained.Furthermore,it can be generalized to homotopy K3 surfaces,the G-index of Direc operator and K-theory degree are calculated. |
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| Keywords: | spin 4-manifold alternating group effect fixed point K3 surface Seiberg-Witten theory |
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