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The Ehrhart $h^*$-polynomials of positroid polytopes by Jiang, Yuhan is a scholarly article available to read on EtoBox.

What is The Ehrhart $h^*$-polynomials of positroid polytopes about?

A positroid is a matroid realized by a matrix such that all maximal minors are non-negative. Positroid polytopes are matroid polytopes of positroids. In particular, they are lattice polytopes. The Ehrhart polynomial of a lattice polytope counts the number of integer points in the dilation of that polytope. The Ehrhart series is the generating function of the Ehrhart polynomial, a rational function with a numerator called the $h^*$-polynomial. We give explicit formulas for the $h^*$-polynomials of an arbitrary positroid polytope regarding permutation descents. Our result generalizes that of Early, Kim, and Li for hypersimplices.

Author

Jiang, Yuhan

Published

2024

Language

EN