Subdivisions of Hypersimplices: with a View Toward Finite Metric Spaces

Laura Casabella, Michael Joswig, Lars Kastner

The secondary fan $\Sigma (k,n)$ is a polyhedral fan which stratifies the regular subdivisions of the hypersimplices $\Delta (k,n)$. We find new infinite families of rays of $\Sigma (k,n)$, and we c…