$A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies

Cirici, JoanaGarrido Vilallave, RogerSopena Gilboy, Anna2026-02-192026-02-192025-05-072300-7443https://hdl.handle.net/2445/227064In this article, we introduce certain arity-3 operations on complex manifolds arising from homotopy transfer theory. Such operations are related to the triple ABC-Massey products from Bott-Chern to Aeppli cohomology. We present a package for computing such products as well as other cohomological and homotopical invariants for complex nilmanifolds and give some examples.9 p.application/pdfengcc by (c) Joana Cirici et al., 2025https://creativecommons.org/licenses/by-sa/4.0/deed.caTopologiaVarietats complexesTeoria de l'homotopiaTopologyComplex manifoldsHomotopy theory$A_{\infty}$-structures for Bott-Chern and Aeppli cohomologiesinfo:eu-repo/semantics/article7656602026-02-19info:eu-repo/semantics/openAccess