论文标题
在Prime 2处的五月频谱序列
On the May Spectral Sequence at the prime 2
论文作者
论文摘要
我们对五月频谱序列的整个$ e_2 $页面进行了猜想，就发生器和关系而言，我们在涵盖较大尺寸的亚词法中证明了这一点。我们表明，$ e_2 $页面在交换性DGA中的Massey产品的研究中起着普遍的作用。我们推测$ e_2 $页面是免费的，也可以在此子代理中证明这一点。我们在猜想中计算了发电机的所有$ d_2 $差异，并构造了光谱序列的地图，这使我们能够探索Adams消失的线定理以在5月的光谱序列中计算差异。
We make a conjecture about the whole $E_2$ page of the May spectral sequence in terms of generators and relations and we prove it in a subalgebra which covers a large range of dimensions. We show that the $E_2$ page plays a universal role in the study of Massey products in commutative DGAs. We conjecture that the $E_2$ page is nilpotent free and also prove it in this subalgebra. We compute all the $d_2$ differentials of the generators in the conjecture and construct maps of spectral sequences which allow us to explore Adams vanishing line theorem to compute differentials in the May spectral sequence.
