Desuspensions of S^1 /\ P^1_Q-{0,1,infty}

Kirsten Wickelgren

We use the Galois action on ${\pi }_1^{\text{et}}({\mathbb{P}}_{\overline{\mathbb{Q}}}^1-\{0,1,\infty \})$ to show that the homotopy equivalence $S^1 \wedge (\mathbb{G}_{m,\mathbb{Q}}…