Moment-angle Complexes, Monomial Ideals and Massey Products
Moment-angle Complexes, Monomial Ideals and Massey Products
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DOI：
10.4310/pamq.2007.v3.n1.a2
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发表时间：
2005-12
影响因子：
0.7
通讯作者：
G. Denham;Alexander I. Suciu
中科院分区：
文献类型：
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作者：
G. Denham;Alexander I. Suciu
每个有限单纯复形K都有一个“矩角”有限CW-复形Z_K;如果K是球面的三角剖分，则Z_K是光滑的紧致流形。基于Buchstaber，Panov和Baskakov的工作，我们研究了上同调环，同伦群和矩角复形的三重Massey乘积，将这些拓扑不变量与基础单纯复形的代数组合学联系起来。应用研究的非正式流形和子空间安排。
Associated to every finite simplicial complex K there is a "moment-angle" finite CW-complex, Z_K; if K is a triangulation of a sphere, Z_K is a smooth, compact manifold. Building on work of Buchstaber, Panov, and Baskakov, we study the cohomology ring, the homotopy groups, and the triple Massey products of a moment-angle complex, relating these topological invariants to the algebraic combinatorics of the underlying simplicial complex. Applications to the study of non-formal manifolds and subspace arrangements are given.