Abstract The Poincare polynomial of the complement of an arrangements in a non compact group G 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.

中文翻译：

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椭圆排列的庞加莱多项式不是由图特多项式决定的

摘要 非紧群 G 中排列的补集的庞加莱多项式是与排列相关的 G -Tutte 多项式的特化。在本文中，我们展示了两个具有相同 Tutte 多项式的单模椭圆排列（由两个图构建），具有不同的 Betti 数。