摘要
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.
基金
supported by National Natural Science Foundation of China(Grant Nos.11801580 and 11871284)
supported by National Natural Science Foundation of China(Grant Nos.11871284 and 11761072).
