论文标题
连接复合物K理论的整体拓扑霍基柴尔德同源
Integral topological Hochschild homology of connective complex K-theory
论文作者
论文摘要
我们将$ \ mathrm {thh}（\ mathrm {ku}）$的同型组作为$ \ mathrm {ku} _ \ ast $ -module，使用地图的下降光谱序列$ \ MATHRM {我们使用代数Bockstein光谱序列计算$ e_2 $ - 页面，这是与拓扑伯克斯坦光谱序列计算$ \ mathrm {thh}（\ Mathrm {Ku {ku}）$的近似值 元素。然后，我们表明，下降光谱序列在$ e_2 $ page上退化。
We compute the homotopy groups of $\mathrm{THH}(\mathrm{ku})$ as a $\mathrm{ku}_\ast$-module using the descent spectral sequence for the map $\mathrm{THH}(\mathrm{ku})\to\mathrm{THH}(\mathrm{ku}/\mathrm{MU})$, which is the motivic spectral sequence for $\mathrm{THH}(\mathrm{ku})$ in the sense of Hahn-Raksit-Wilson. We compute the $E_2$-page using an algebraic Bockstein spectral sequence, which is an approximation to the topological Bockstein spectral sequence computing $\mathrm{THH}(\mathrm{ku})$ from $\mathrm{THH}(\mathrm{ku})/(p,β)$, where $β$ is the Bott element. Then, we show that the descent spectral sequence degenerates at the $E_2$-page.
