Cluster algebras and tilings for the m=4 amplituhedron

Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3

The amplituhedron $A_{n,k,m}(Z)$ is the image of the positive Grassmannian $G{r}_{k,n}^{\ge 0}$ under the map $Z:G{r}_{k,n}^{\ge 0}\to G{r}_{k,k+m}$ induced by a positive linear ma…