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.Contents 7. Formal moment-angle manifolds 47 8. Non-formal moment-angle manifolds 50 9.Subspace arrangements
No takes yet. Share an insight, caveat, or question.
A 2007 study studied this question.