论文标题
在与双邻居多型，组合公式和序列相关的矩角歧管上
On the genera of moment-angle manifolds associated to dual-neighborly polytopes, combinatorial formulas and sequences
论文作者
论文摘要
对于一个偶数$ 2P $的多台面的家庭，称为\ textit {dual-neighborly}，已经以$ p \ ne 2 $显示了相关的四边形相交是一个连接的球体产品$ s^p \ s^p \ times s^p $。在本文中，我们给出了该连接总和中条款数的公式。某些组合操作会产生新的多面体，其相关的交叉点也连接到球体产品的总和，我们还为其数量提供了配方。其中包括大量简单的多型，包括许多奇数。
For a family of polytopes of even dimension $2p$, known as \textit{dual-neighborly}, it has been shown for $p\ne 2$ that the associated intersection of quadrics is a connected sum of sphere products $S^p\times S^p$. In this article we give formulas for the number of terms in that connected sum. Certain combinatorial operations produce new polytopes whose associated intersections are also connected sums of sphere products and we give also formulas for their number. These include a large amount of simple polytopes, including many odd-dimensional ones.
