$A_{\infty}$-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...
| Authors: | , , |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/227064 |
| Online Access: | https://hdl.handle.net/2445/227064 |
| Access Level: | Open access |
| Keyword: | Topologia Varietats complexes Teoria de l'homotopia Topology Complex manifolds Homotopy theory |
| Summary: | 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. |
|---|