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Working paper

Embeddings of moment-angle manifolds and sequences of Massey products

arxiv.org. math. Cornell University, 2018. No. 1808.08851.
Buchstaber V., Limonchenko I.
We introduce the notions of algebraic and geometric direct families of polytopes and develop a theory of such families. The theory is then applied to the problem of existence of nontrivial higher Massey products in cohomology of moment-angle-complexes.