$A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/227064 |
| Acceso en línea: | https://hdl.handle.net/2445/227064 |
| Access Level: | acceso abierto |
| Palabra clave: | Topologia Varietats complexes Teoria de l'homotopia Topology Complex manifolds Homotopy theory |
| Sumario: | 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. |
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