Non-trivial ABC-Massey products on complex parallelisable solvmanifolds

RESUMO

Triple Aeppli--Bott--Chern--Massey products, shortly, triple ABC-Massey products are higher-order operations on the Bott--Chern and Aeppli cohomologies of a compact complex manifold, and their non-vanishing is an invariant of its pluripotential homotopy type. We prove that every non-Abelian complex unimodular solvable Lie algebra admits a non-vanishing triple ABC--Massey product, and we deduce that so does every compact complex parallelisable solvmanifold.