<i>A</i> <sub>∞</sub>-structures for Bott-Chern and Aeppli cohomologies
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 <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>A</m:mi> <m:mi>B</m:mi> <m:mi>C</m:mi> </m:math> 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.
Authors
- Anna Sopena-Gilboy
- Joana Cirici (ORCID: https://orcid.org/0000-0001-5632-9479)
- Roger Garrido-Vilallave
Institutions
- University of Bonn (DE)
- Universitat de Barcelona (ES)
Publication Details
- Journal
- Complex Manifolds
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1515/coma-2025-0012
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- Agencia Estatal de Investigación