| 关于n-秩轮图2-adic Orlik-Solomon代数的研究 |
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| 引用本文： | 陈文娟,孙贵艳,王子璇,姜广峰. 关于n-秩轮图2-adic Orlik-Solomon代数的研究[J]. 北京化工大学学报(自然科学版), 2019, 46(5): 112. DOI: 10.13543/j.bhxbzr.2019.05.017 |
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| 作者姓名： | 陈文娟 孙贵艳 王子璇 姜广峰 |
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| 作者单位： | 北京化工大学 理学院, 北京 100029 |
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| 基金项目： | 国家自然科学基金（11071010） |
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| 摘 要： | 研究了与n-秩轮图相伴的超平面构形的2-adic Orlik-Solomon代数,得到了2-adic Orlik-Solomon代数前4项的维数计算公式,并发现这类图构形不是二次的,这一结果部分回答了Falk提出的公开问题。最后,计算了这一类聚合物拓扑图2-adic Orlik-Solomon代数的第4项维数。
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| 关 键 词： | 超平面构形 2-adic Orlik-Solomon代数 n-秩轮图')>n-秩轮图 |
| 收稿时间： | 2019-03-07 |
On the 2-adic Orlik-Solomon algebra of n-rank wheel graphs |
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| CHEN WenJuan,SUN GuiYan,WANG ZiXuan,JIANG GuangFeng. On the 2-adic Orlik-Solomon algebra of n-rank wheel graphs[J]. Journal of Beijing University of Chemical Technology, 2019, 46(5): 112. DOI: 10.13543/j.bhxbzr.2019.05.017 |
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| Authors: | CHEN WenJuan SUN GuiYan WANG ZiXuan JIANG GuangFeng |
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| Affiliation: | Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | We have studied the 2-adic Orlik-Solomon algebra of a hyperplane arrangement associated with an n-rank wheel graph, obtained the dimension formular of the first four terms of the 2-adic Orlik-Solomon algebra, and found that this arrangement is not quadratic. The results partially answer an open question raised by M. Falk. Finally, the calculation method is used in computing the fourth term of the 2-adic Orlik-Solomon algebra of graphs from the topological classification of polymers. |
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| Keywords: | hyperplane arrangement 2-adic Orlik-Solomon algebra n-rank wheel graph')>n-rank wheel graph |
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