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  • О высших произведениях Масси и рациональной формальности момент-угол многообразий над мультивставками

Article

О высших произведениях Масси и рациональной формальности момент-угол многообразий над мультивставками

We construct moment-angle-manifolds over 2-truncated cubes having an arbitrarily large prescribed order of a strictly defined nontrivial Massey product in cohomology. We give a criterion of rational formality for moment-angle-manifolds over graph-associahedra. We obtain a sufficient condition for existence of a strictly defined Massey product in cohomology of a moment-angle-complex in terms of vanishing of certain multigraded algebraic Betti numbers.