English

Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials

Combinatorics 2019-12-30 v1 Group Theory

Abstract

The purpose of this paper is twofold. Firstly, we generalize the notion of characteristic polynomials of hyperplane and toric arrangements to those of certain abelian Lie group arrangements. Secondly, we give two interpretations for the chromatic quasi-polynomials and their constituents through subspace and toric viewpoints.

Keywords

Cite

@article{arxiv.1805.03365,
  title  = {Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials},
  author = {Tan Nhat Tran and Masahiko Yoshinaga},
  journal= {arXiv preprint arXiv:1805.03365},
  year   = {2019}
}

Comments

16 pages