Poincaré polynomial of elliptic arrangements is not a specialization of the Tutte polynomial

Roberto Pagaria

doi:10.1016/j.disc.2019.111710

paper

Poincaré polynomial of elliptic arrangements is not a specialization of the Tutte polynomial

arXiv:1810.06248 · doi:10.1016/j.disc.2019.111710

Abstract

The Poincaré polynomial of the complement of an arrangements in a non compact group is a specialization of the $G$ -Tutte polynomial associated with the arrangement. In this article we show two unimodular elliptic arrangements (built up from two graphs) with the same Tutte polynomial, having different Betti numbers.

5 pages, 1 figure