Work

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

Year: 2025

Type: article

Abstract: In 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.

Source: Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona)

Authors: Cirici, Joana, Garrido Vilallave, Roger, Sopena Gilboy, Anna

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7130809078

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