Moment-angle manifolds and connected sums of simplicial spheres
Moment-angle manifolds and connected sums of simplicial spheres
复制标题
矩角流形和单纯球的连通和
DOI：
10.1007/s11425-020-1889-8
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Wang Xiangjun
中科院分区：
文献类型：
--
作者：
Fan Feifei;Wang Xiangjun
连通和是几何拓扑学和组合数学中的一个基本运算。本文研究了单纯球面的连通和与其相应的矩角流形的代数拓扑之间的联系。计算了单形球面连通和所对应的矩角流形的上同调环，并由此对此类矩角流形的拓扑结构提出了一个猜想。
The connected sum is a fundamental operation in geometric topology and combinatorics. In this paper, we study the connection between connected sums of simplicial spheres and the algebraic topology of their corresponding moment-angle manifolds. The cohomology rings of moment-angle manifolds corresponding to connected sums of simplicial spheres are computed, which leads to a conjecture on the topology of such moment-angle manifolds.