Geometric Bijections for Regular Matroids, Zonotopes, and Ehrhart Theory

Spencer Backman, Matthew Baker, Chi Ho Yuen

Let $M$ be a regular matroid. The Jacobian group $\mathrm{Jac}(M)$ of $M$ is a finite abelian group whose cardinality is equal to the number of bases of $M$. This group generalizes th…