论文标题
稳定的同型球体
Stable homotopy groups of spheres
论文作者
论文摘要
我们讨论了稳定的球体稳定同型群体的当前知识状态。我们描述了一种新的计算方法,该方法得出了前61个稳定同拷贝组的简化计算,并提供有关尺寸62至90中稳定同型组的新信息。该方法比以前的方法更依赖于机器计算,因此比以前的方法更不易误差。主要的数学工具是ADAMS光谱序列。
We discuss the current state of knowledge of stable homotopy groups of spheres. We describe a new computational method that yields a streamlined computation of the first 61 stable homotopy groups, and gives new information about the stable homotopy groups in dimensions 62 through 90. The method relies more heavily on machine computations than previous methods, and is therefore less prone to error. The main mathematical tool is the Adams spectral sequence.