Rationalized stable homotopy groups of spheres
Computing the stable homotopy groups of spheres \(\pi_*^s\) is a major problem in stable homotopy theory. In chromatic homotopy theory one studies, for every prime \(p\), a tower \[\cdots \to L_n\mathcal{S} \to \cdots \to L_1\mathcal{S} \to \mathcal{S}_\mathbb{Q}\] over the rational sphere spectrum \(\mathcal{S}_\mathbb{Q}\) whose homotopy limit is the \(p\)-localization \(\mathcal{S}_{(p)}\) of the sphere spectrum. Since … Continue reading "Rationalized stable homotopy groups of spheres"