  As part of various obstruction theories, non-trivial Massey products have
been studied in symplectic and complex geometry, commutative algebra and
topology for a long time. We introduce a general approach to constructing
non-trivial Massey products in the cohomology of moment-angle complexes, using
homotopy theoretical and combinatorial methods. Our approach sets a unifying
way of constructing higher Massey products of arbitrary cohomological classes
and generalises all existing examples of non-trivial Massey products in
moment-angle complexes. As a result, we obtain explicit constructions of
infinitely many non-formal manifolds that appear in topology, complex geometry
and algebraic geometry.
