论文标题
在$ bp \ langle 2 \ rangle $ - 合作社代数的频谱级分裂上
On a Spectrum-level Splitting of the $BP \langle 2 \rangle$-Cooperations Algebra
论文作者
论文摘要
在1980年代，Mahowald和Kane使用Brown-Gitler Spectra构建了$ BO \ wedge bo $和$ bp \ langle 1 \ rangle \ wedge bp \ langle 1 \ rangle $。这些分裂有助于使使用$ bo $和$ bp \ langle 1 \ rangle $基于$的ADAMS光谱序列进行计算。在本文中，我们为$ bp \ langle 2 \ rangle \ wedge bp \ langle 2 \ rangle $构造了一个类似的分裂。
In the 1980s, Mahowald and Kane used Brown-Gitler spectra to construct splittings of $bo \wedge bo$ and $BP\langle 1 \rangle \wedge BP\langle 1 \rangle$. These splittings helped make it feasible to do computations using the $bo$- and $BP \langle 1 \rangle$-based Adams spectral sequences. In this paper, we construct an analogous splitting for $BP \langle 2 \rangle \wedge BP\langle 2 \rangle$.
