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Non-trivial ABC-Massey products on complex parallelisable solvmanifolds
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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BibTeX
@misc{cesarino2026nontrivial,
title = {{Non-trivial ABC-Massey products on complex parallelisable solvmanifolds}},
author = {Nunzia Cesarino and Tommaso Sferruzza and Adriano Tomassini},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11597},
eprint = {2609.11597},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11597},
}
RIS
TY - UNPB
TI - Non-trivial ABC-Massey products on complex parallelisable solvmanifolds
AU - Nunzia Cesarino
AU - Tommaso Sferruzza
AU - Adriano Tomassini
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11597
UR - https://arxiv.org/abs/2609.11597
AB - 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.
ER -