论文标题
连接的球体产品和最小非戈洛德复合物的总和
Connected sums of sphere products and minimally non-Golod complexes
论文作者
论文摘要
We show that if the moment-angle complex $\mathcal{Z}_K$ associated to a simplicial complex $K$ is homotopy equivalent to a connected sum of sphere products with two spheres in each product, then $K$ decomposes as the simplicial join of an $n$-simplex $Δ^n$ and a minimally non-Golod complex.特别是，我们证明$ k $对于每一个瞬间 - 角度复杂$ \ mathcal {z} _K $同型的$ k $是最小的两倍产品总和，回答了Grbić，Panov，Theriault和Wu的一个问题。
We show that if the moment-angle complex $\mathcal{Z}_K$ associated to a simplicial complex $K$ is homotopy equivalent to a connected sum of sphere products with two spheres in each product, then $K$ decomposes as the simplicial join of an $n$-simplex $Δ^n$ and a minimally non-Golod complex. In particular, we prove that $K$ is minimally non-Golod for every moment-angle complex $\mathcal{Z}_K$ homeomorphic to a connected sum of two-fold products of spheres, answering a question of Grbić, Panov, Theriault and Wu.
