Boundary h*-Polynomials of Lattice Zonotopes
Author: Lok Yam
Faculty Supervisor: Matthias Beck
Department: Mathematics
The Ehrhart series of a polytope P is the generating function whose nth coefficient enumerates the lattice points in the nth dilate of P. The Ehrhart series of P can be written as a rational function, whose numerator we call the h-polynomial of P. Bajo and Beck studied the h-polynomial of the boundary of a polytope. We apply their techniques to zonotopes, or polytopes that are centrally symmetric. In particular, we show that the boundary h*-polynomial of a zonotope is unimodal.