关于n-秩轮图2-adic Orlik- Solomon代数的研究

On the 2-adic Orlik- Solomon algebra of n-rank wheel graphs

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。

We have studied the 2-adic Orlik -Solomon algebra of a hyperplane arrangement associated with an nrank 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.