POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS
POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS
复制标题
正格拉斯曼和多面体细分
DOI：
10.1142/9789813272880_0177
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
A. Postnikov
中科院分区：
文献类型：
--
作者：
A. Postnikov
非负Grassmanian是一个细胞复合体，具有丰富的几何、代数和组合结构。它的研究涉及到有趣的组合对象，如正电子和PLABIC图。值得注意的是，同样的组合结构出现在数学和物理的许多其他领域，例如在团簇代数、散射幅度和孤子的研究中。我们讨论了思考这些结构的新方法。特别地，我们识别了由超单纯的2维投影诱导的具有多面体剖分的Plabic图和更一般的Grassman图。这暗示了正Grassman理论与纤维多面体理论以及广义Baues问题之间的密切关系。这表明与正Grassman相关的对象的自然延伸。
The nonnegative Grassmannian is a cell complex with rich geometric, algebraic, and combinatorial structures. Its study involves interesting combinatorial objects, such as positroids and plabic graphs. Remarkably, the same combinatorial structures appeared in many other areas of mathematics and physics, e.g., in the study of cluster algebras, scattering amplitudes, and solitons. We discuss new ways to think about these structures. In particular, we identify plabic graphs and more general Grassmannian graphs with polyhedral subdivisions induced by 2-dimensional projections of hypersimplices. This implies a close relationship between the positive Grassmannian and the theory of fiber polytopes and the generalized Baues problem. This suggests natural extensions of objects related to the positive Grassmannian.
完全非负的格拉斯曼函数是一个球
影响因子：
1.7
作者：
Galashin, Pavel;Karp, Steven N.;Lam, Thomas
通讯作者：
Lam, Thomas