Multiplicative Structure in the Stable Splitting of $\Omega S{L}_n(\mathbb{C})$

Jeremy Hahn, Allen Yuan

The space of based loops in $S{L}_n(\mathbb{C})$, also known as the affine Grassmannian of $S{L}_n(\mathbb{C})$, admits an ${\mathbb{E}}_2$ or fusion product. Work of Mitchell and Richte…