Up-to-homotopy algebras with strict units
We prove the existence of minimal models à la Sullivan for operads with non trivial arity zero. So up-to-homotopy algebras with strict units are just operad algebras over these minimal models. As an application we give another proof of the formality of the unitary n -little disks operad over the rat...
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| Formato: | informe técnico |
| Fecha de publicación: | 2018 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/127414 |
| Acesso em linha: | https://hdl.handle.net/2117/127414 |
| Access Level: | acceso abierto |
| Palavra-chave: | Homotopy theory Up-to-homotopy algebra operad operad algebra minimal model Homotopia, Teoria d' Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Resumo: | We prove the existence of minimal models à la Sullivan for operads with non trivial arity zero. So up-to-homotopy algebras with strict units are just operad algebras over these minimal models. As an application we give another proof of the formality of the unitary n -little disks operad over the rationals. |
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