Massey products in cohomology of moment-angle manifolds for 2-truncated cubes (Q1688140)

Let \(n\geq 2\). The author constructs a polytope \(P\) that is a flag nestohedron and can be obtained from an \(n\)-dimensional cube \(I^n\) by consecutively cutting faces of codimension \(2\) by hyperplanes in general position. Let \({\mathcal{L}}_P\) be the moment-angle manifold of \(P\). In this short note the author defines certain elements \(\alpha_i\in H^3({\mathcal{L}}_P)\), \(1\leq i\leq n\), such that the \(n\)-fold Massey product \(<\alpha_1,\ldots,\alpha_n>\) is defined and non-trivial.