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arXiv · 2609.11597

Non-trivial ABC-Massey products on complex parallelisable solvmanifolds

Nunzia Cesarino·Tommaso Sferruzza·Adriano Tomassini
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Abstract

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.

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Nunzia Cesarino, Tommaso Sferruzza, Adriano Tomassini. 2026-09-10. Non-trivial ABC-Massey products on complex parallelisable solvmanifolds. https://arxiv.org/abs/2609.11597

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