论文标题
尺寸54中亚当谱序列的延伸
An extension in the Adams spectral sequence in dimension 54
论文作者
论文摘要
我们在54个茎中Prime 2的稳定球体组中建立了一个隐藏的延伸序列。这一扩展是出色的，因为我们知道通过Pstragowski的合成光谱类别进行的唯一证明。这是通过尺寸80的ADAMS光谱序列中的最终未解决的隐藏2延伸。我们希望这可以简化证明由$ \ Mathbb {f} _2 $ -Synthetic Spectra提供的计算杠杆。
We establish a hidden extension in the Adams spectral sequence converging to the stable homotopy groups of spheres at the prime 2 in the 54-stem. This extension is exceptional in that the only proof we know proceeds via Pstragowski's category of synthetic spectra. This was the final unresolved hidden 2-extension in the Adams spectral sequence through dimension 80. We hope this provides a concise demonstration of the computational leverage provided by $\mathbb{F}_2$-synthetic spectra.
