q-analogues of Ehrhart polynomials
Quantum Algebra
2013-02-26 v2
Abstract
One considers weighted sums over points of lattice polytopes, where the weight of a point v is the monomial q^f(v) for some linear form f. One proposes a q-analogue of the classical theory of Ehrhart series and Ehrhart polynomials, including Ehrhart reciprocity and involving evaluation at the q-integers.
Cite
@article{arxiv.1301.1844,
title = {q-analogues of Ehrhart polynomials},
author = {Frédéric Chapoton},
journal= {arXiv preprint arXiv:1301.1844},
year = {2013}
}
Comments
17 pages, 2 figures